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4004084664 = 2334174379107
BaseRepresentation
bin1110111010101001…
…0111101110111000
3101100001101120120000
43232222113232320
531200021202124
61501153233000
7201140105136
oct35652275670
911301346500
104004084664
111775224088
12938b62760
134ba721988
1429dad8756
151867d06c9
hexeea97bb8

4004084664 has 320 divisors, whose sum is σ = 12419827200. Its totient is φ = 1200116736.

The previous prime is 4004084663. The next prime is 4004084687. The reversal of 4004084664 is 4664804004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004084663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37421299 + ... + 37421405.

It is an arithmetic number, because the mean of its divisors is an integer number (38811960).

Almost surely, 24004084664 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 4004084664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209913600).

4004084664 is an abundant number, since it is smaller than the sum of its proper divisors (8415742536).

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

4004084664 is a wasteful number, since it uses less digits than its factorization.

4004084664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4004084664 is about 63277.8370679656. The cubic root of 4004084664 is about 1587.9412014767.

Adding to 4004084664 its reverse (4664804004), we get a palindrome (8668888668).

The spelling of 4004084664 in words is "four billion, four million, eighty-four thousand, six hundred sixty-four".