970464768 has 320 divisors, whose sum is σ = 3266790912. Its totient is φ = 249200640.

The previous prime is 970464743. The next prime is 970464773. The reversal of 970464768 is 867464079.

It is a self number, because there is not a number n which added to its sum of digits gives 970464768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7408063 + ... + 7408193.

Almost surely, 2^970464768 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 970464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633395456).

970464768 is an abundant number, since it is smaller than the sum of its proper divisors (2296326144).

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

970464768 is a wasteful number, since it uses less digits than its factorization.

970464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 970464768 is about 31152.2835118070. The cubic root of 970464768 is about 990.0563747103.

The spelling of 970464768 in words is "nine hundred seventy million, four hundred sixty-four thousand, seven hundred sixty-eight".