64400976 has 60 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 21161280.

The previous prime is 64400969. The next prime is 64401017. The reversal of 64400976 is 67900446.

64400976 is a `hidden beast` number, since 644 + 0 + 0 + 9 + 7 + 6 = 666.

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 64400976.

It is a congruent number.

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, 7075 + ... + 13373.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^64400976 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 64400976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

64400976 is an abundant number, since it is smaller than the sum of its proper divisors (118399824).

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

64400976 is a wasteful number, since it uses less digits than its factorization.

64400976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384 (or 6375 counting only the distinct ones).

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

The square root of 64400976 is about 8025.0218691291. The cubic root of 64400976 is about 400.8336281201.

The spelling of 64400976 in words is "sixty-four million, four hundred thousand, nine hundred seventy-six".