970801977600 has 1620 divisors, whose sum is σ = 4444922756736. Its totient is φ = 204699156480.

The previous prime is 970801977581. The next prime is 970801977617. The reversal of 970801977600 is 6779108079.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 613266409 + ... + 613267991.

Almost surely, 2^970801977600 is an apocalyptic number.

970801977600 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 970801977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222461378368).

970801977600 is an abundant number, since it is smaller than the sum of its proper divisors (3474120779136).

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

970801977600 is a wasteful number, since it uses less digits than its factorization.

970801977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 970801977600 in words is "nine hundred seventy billion, eight hundred one million, nine hundred seventy-seven thousand, six hundred".