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664497792 = 27327194337
BaseRepresentation
bin100111100110110…
…110111010000000
31201022100222121100
4213212312322000
52330102412132
6145534254400
722316065230
oct4746667200
91638328540
10664497792
11311101032
12166657400
13a788bb7a
1464375cc0
153d50d37c
hex279b6e80

664497792 has 192 divisors, whose sum is σ = 2300875200. Its totient is φ = 179822592.

The previous prime is 664497739. The next prime is 664497809. The reversal of 664497792 is 297794466.

It is a happy number.

664497792 is a `hidden beast` number, since 6 + 64 + 497 + 7 + 92 = 666.

664497792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151048 + ... + 155384.

It is an arithmetic number, because the mean of its divisors is an integer number (11983725).

Almost surely, 2664497792 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 664497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150437600).

664497792 is an abundant number, since it is smaller than the sum of its proper divisors (1636377408).

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

664497792 is a wasteful number, since it uses less digits than its factorization.

664497792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4368 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 664497792 is about 25777.8546818776. The cubic root of 664497792 is about 872.6320922714.

The spelling of 664497792 in words is "six hundred sixty-four million, four hundred ninety-seven thousand, seven hundred ninety-two".