6464795904 has 648 divisors, whose sum is σ = 24146507840. Its totient is φ = 1624375296.

The previous prime is 6464795891. The next prime is 6464795917. The reversal of 6464795904 is 4095974646.

It is a happy number.

6464795904 is a `hidden beast` number, since 6 + 4 + 6 + 47 + 9 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6464795891) and next prime (6464795917).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88558812 + ... + 88558884.

Almost surely, 2^6464795904 is an apocalyptic number.

6464795904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6464795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073253920).

6464795904 is an abundant number, since it is smaller than the sum of its proper divisors (17681711936).

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

6464795904 is a wasteful number, since it uses less digits than its factorization.

6464795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6464795904 is about 80403.9545296125. The cubic root of 6464795904 is about 1862.8802548620.

The spelling of 6464795904 in words is "six billion, four hundred sixty-four million, seven hundred ninety-five thousand, nine hundred four".