970774518130560 has 768 divisors, whose sum is σ = 3958875497041920. Its totient is φ = 216098858188800.

The previous prime is 970774518130559. The next prime is 970774518130567. The reversal of 970774518130560 is 65031815477079.

970774518130560 is a `hidden beast` number, since 9 + 7 + 0 + 7 + 7 + 4 + 51 + 8 + 13 + 0 + 560 = 666.

970774518130560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970774518130567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154237587 + ... + 160408173.

It is an arithmetic number, because the mean of its divisors is an integer number (5154785803440).

Almost surely, 2^{970774518130560} is an apocalyptic number.

970774518130560 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 970774518130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979437748520960).

970774518130560 is an abundant number, since it is smaller than the sum of its proper divisors (2988100978911360).

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

970774518130560 is a wasteful number, since it uses less digits than its factorization.

970774518130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170827 (or 6170812 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 970774518130560 in words is "nine hundred seventy trillion, seven hundred seventy-four billion, five hundred eighteen million, one hundred thirty thousand, five hundred sixty".