64401232896 has 1056 divisors, whose sum is σ = 258924211200. Its totient is φ = 15354593280.

The previous prime is 64401232801. The next prime is 64401232897. The reversal of 64401232896 is 69823210446.

64401232896 is a `hidden beast` number, since 6 + 4 + 401 + 232 + 8 + 9 + 6 = 666.

64401232896 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 (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64401232897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359783335 + ... + 359783513.

Almost surely, 2^64401232896 is an apocalyptic number.

64401232896 is a gapful number since it is divisible by the number (66) 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 64401232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129462105600).

64401232896 is an abundant number, since it is smaller than the sum of its proper divisors (194522978304).

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

64401232896 is a wasteful number, since it uses less digits than its factorization.

64401232896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64401232896 in words is "sixty-four billion, four hundred one million, two hundred thirty-two thousand, eight hundred ninety-six".