970008399360 has 1920 divisors, whose sum is σ = 4558262252544. Its totient is φ = 184095866880.

The previous prime is 970008399341. The next prime is 970008399377. The reversal of 970008399360 is 63993800079.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 970008399297 and 970008399306.

It is a congruent number.

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, 3159636327 + ... + 3159636633.

Almost surely, 2^970008399360 is an apocalyptic number.

970008399360 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 970008399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279131126272).

970008399360 is an abundant number, since it is smaller than the sum of its proper divisors (3588253853184).

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

970008399360 is a wasteful number, since it uses less digits than its factorization.

970008399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 970008399360 in words is "nine hundred seventy billion, eight million, three hundred ninety-nine thousand, three hundred sixty".