970639891200 has 1728 divisors, whose sum is σ = 4292125286400. Its totient is φ = 209848320000.

The previous prime is 970639891189. The next prime is 970639891297. The reversal of 970639891200 is 2198936079.

970639891200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3867091075 + ... + 3867091325.

It is an arithmetic number, because the mean of its divisors is an integer number (2483868800).

Almost surely, 2^970639891200 is an apocalyptic number.

970639891200 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 970639891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146062643200).

970639891200 is an abundant number, since it is smaller than the sum of its proper divisors (3321485395200).

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

970639891200 is a wasteful number, since it uses less digits than its factorization.

970639891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 970639891200 in words is "nine hundred seventy billion, six hundred thirty-nine million, eight hundred ninety-one thousand, two hundred".