964018962432 has 648 divisors, whose sum is σ = 3095699115600. Its totient is φ = 299267260416.

The previous prime is 964018962421. The next prime is 964018962433. The reversal of 964018962432 is 234269810469.

964018962432 is a `hidden beast` number, since 9 + 6 + 4 + 0 + 1 + 8 + 9 + 624 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is not an unprimeable number, because it can be changed into a prime (964018962433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16339304419 + ... + 16339304477.

It is an arithmetic number, because the mean of its divisors is an integer number (4777313450).

Almost surely, 2^964018962432 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 964018962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547849557800).

964018962432 is an abundant number, since it is smaller than the sum of its proper divisors (2131680153168).

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

964018962432 is an frugal number, since it uses more digits than its factorization.

964018962432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 964018962432 in words is "nine hundred sixty-four billion, eighteen million, nine hundred sixty-two thousand, four hundred thirty-two".