970941903360 has 1920 divisors, whose sum is σ = 4023102504960. Its totient is φ = 196676812800.

The previous prime is 970941903293. The next prime is 970941903367. The reversal of 970941903360 is 63309149079.

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

It is not an unprimeable number, because it can be changed into a prime (970941903367) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12290403801 + ... + 12290403879.

It is an arithmetic number, because the mean of its divisors is an integer number (2095365888).

Almost surely, 2^970941903360 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 970941903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011551252480).

970941903360 is an abundant number, since it is smaller than the sum of its proper divisors (3052160601600).

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

970941903360 is a wasteful number, since it uses less digits than its factorization.

970941903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 51.

The spelling of 970941903360 in words is "nine hundred seventy billion, nine hundred forty-one million, nine hundred three thousand, three hundred sixty".