969072966720 has 896 divisors, whose sum is σ = 3718989158400. Its totient is φ = 236617334784.

The previous prime is 969072966709. The next prime is 969072966733. The reversal of 969072966720 is 27669270969.

969072966720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1580869134 + ... + 1580869746.

Almost surely, 2^969072966720 is an apocalyptic number.

969072966720 is a gapful number since it is divisible by the number (90) 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 969072966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859494579200).

969072966720 is an abundant number, since it is smaller than the sum of its proper divisors (2749916191680).

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

969072966720 is a wasteful number, since it uses less digits than its factorization.

969072966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 969072966720 in words is "nine hundred sixty-nine billion, seventy-two million, nine hundred sixty-six thousand, seven hundred twenty".