964918840032 has 672 divisors, whose sum is σ = 3359437804800. Its totient is φ = 266969364480.

The previous prime is 964918840031. The next prime is 964918840043. The reversal of 964918840032 is 230048819469.

964918840032 is a `hidden beast` number, since 9 + 6 + 491 + 88 + 40 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×964918840032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964918840031) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 919845844 + ... + 919846892.

It is an arithmetic number, because the mean of its divisors is an integer number (4999163400).

Almost surely, 2^964918840032 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 964918840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679718902400).

964918840032 is an abundant number, since it is smaller than the sum of its proper divisors (2394518964768).

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

964918840032 is a wasteful number, since it uses less digits than its factorization.

964918840032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 964918840032 in words is "nine hundred sixty-four billion, nine hundred eighteen million, eight hundred forty thousand, thirty-two".