963980328672 has 480 divisors, whose sum is σ = 3048291338400. Its totient is φ = 297772941312.

The previous prime is 963980328659. The next prime is 963980328709. The reversal of 963980328672 is 276823089369.

963980328672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1462792279 + ... + 1462792937.

It is an arithmetic number, because the mean of its divisors is an integer number (6350606955).

Almost surely, 2^963980328672 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 963980328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524145669200).

963980328672 is an abundant number, since it is smaller than the sum of its proper divisors (2084311009728).

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

963980328672 is a wasteful number, since it uses less digits than its factorization.

963980328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 963980328672 in words is "nine hundred sixty-three billion, nine hundred eighty million, three hundred twenty-eight thousand, six hundred seventy-two".