7969664000 has 352 divisors, whose sum is σ = 21842308800. Its totient is φ = 2890137600.

The previous prime is 7969663991. The next prime is 7969664041. The reversal of 7969664000 is 4669697.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70527944 + ... + 70528056.

Almost surely, 2^7969664000 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 7969664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921154400).

7969664000 is an abundant number, since it is smaller than the sum of its proper divisors (13872644800).

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

7969664000 is a wasteful number, since it uses less digits than its factorization.

7969664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 7969664000 is about 89272.9746339843. The cubic root of 7969664000 is about 1997.4687978593.

The spelling of 7969664000 in words is "seven billion, nine hundred sixty-nine million, six hundred sixty-four thousand".