970075285776 has 225 divisors, whose sum is σ = 2845008677973. Its totient is φ = 319115376000.

The previous prime is 970075285693. The next prime is 970075285801. The reversal of 970075285776 is 677582570079.

The square root of 970075285776 is 984924.

It is a perfect power (a square), and thus also a powerful number.

970075285776 is a `hidden beast` number, since 9 + 7 + 0 + 0 + 7 + 52 + 8 + 577 + 6 = 666.

970075285776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 676137820176 + 293937465600 = 822276^2 + 542160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3864841651 + ... + 3864841901.

Almost surely, 2^970075285776 is an apocalyptic number.

970075285776 is the 984924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970075285776

970075285776 is an abundant number, since it is smaller than the sum of its proper divisors (1874933392197).

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

970075285776 is an equidigital number, since it uses as much as digits as its factorization.

970075285776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 63.

The spelling of 970075285776 in words is "nine hundred seventy billion, seventy-five million, two hundred eighty-five thousand, seven hundred seventy-six".