970989676800 has 432 divisors, whose sum is σ = 3764700585408. Its totient is φ = 217283788800.

The previous prime is 970989676771. The next prime is 970989676819. The reversal of 970989676800 is 8676989079.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568774 + ... + 2922426.

Almost surely, 2^970989676800 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 970989676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882350292704).

970989676800 is an abundant number, since it is smaller than the sum of its proper divisors (2793710908608).

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

970989676800 is a wasteful number, since it uses less digits than its factorization.

970989676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353706 (or 353687 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 69.

The spelling of 970989676800 in words is "nine hundred seventy billion, nine hundred eighty-nine million, six hundred seventy-six thousand, eight hundred".