64004976 has 180 divisors, whose sum is σ = 213905952. Its totient is φ = 17805312.

The previous prime is 64004959. The next prime is 64004989. The reversal of 64004976 is 67940046.

64004976 = 15³ + 16³ + ... + 126³.

64004976 is a `hidden beast` number, since 640 + 0 + 4 + 9 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64004976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331536 + ... + 331728.

Almost surely, 2^64004976 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 64004976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106952976).

64004976 is an abundant number, since it is smaller than the sum of its proper divisors (149900976).

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

64004976 is a wasteful number, since it uses less digits than its factorization.

64004976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64004976 is about 8000.3109939552. The cubic root of 64004976 is about 400.0103663980.

It can be divided in two parts, 64004 and 976, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 64004976 in words is "sixty-four million, four thousand, nine hundred seventy-six".