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640066464 = 25324674759
BaseRepresentation
bin100110001001101…
…010001110100000
31122121101202010100
4212021222032200
52302324111324
6143302502400
721601321662
oct4611521640
91577352110
10640066464
112a9334454
1215a434a00
13a27b676b
1461016532
153b2d44c9
hex2626a3a0

640066464 has 72 divisors (see below), whose sum is σ = 1824469920. Its totient is φ = 212853888.

The previous prime is 640066423. The next prime is 640066487. The reversal of 640066464 is 464660046.

It is a happy number.

640066464 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132117 + ... + 136875.

It is an arithmetic number, because the mean of its divisors is an integer number (25339860).

Almost surely, 2640066464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912234960).

640066464 is an abundant number, since it is smaller than the sum of its proper divisors (1184403456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640066464 is a wasteful number, since it uses less digits than its factorization.

640066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 640066464 is about 25299.5348573842. The cubic root of 640066464 is about 861.8037067191.

The spelling of 640066464 in words is "six hundred forty million, sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 467 934 1401 1868 2802 3736 4203 4759 5604 7472 8406 9518 11208 14277 14944 16812 19036 22416 28554 33624 38072 42831 44832 57108 67248 76144 85662 114216 134496 152288 171324 228432 342648 456864 685296 1370592 2222453 4444906 6667359 8889812 13334718 17779624 20002077 26669436 35559248 40004154 53338872 71118496 80008308 106677744 160016616 213355488 320033232 640066464