10032396864 has 336 divisors, whose sum is σ = 33656552448. Its totient is φ = 2578194432.

The previous prime is 10032396827. The next prime is 10032396919. The reversal of 10032396864 is 46869323001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8933007 + ... + 8934129.

Almost surely, 2^10032396864 is an apocalyptic number.

10032396864 is a gapful number since it is divisible by the number (14) 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 10032396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828276224).

10032396864 is an abundant number, since it is smaller than the sum of its proper divisors (23624155584).

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

10032396864 is a wasteful number, since it uses less digits than its factorization.

10032396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 10032396864 in words is "ten billion, thirty-two million, three hundred ninety-six thousand, eight hundred sixty-four".