970277890560 has 640 divisors, whose sum is σ = 3430830484224. Its totient is φ = 231981711360.

The previous prime is 970277890481. The next prime is 970277890567. The reversal of 970277890560 is 65098772079.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×970277890560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 970277890494 and 970277890503.

It is not an unprimeable number, because it can be changed into a prime (970277890567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2879162712 + ... + 2879163048.

Almost surely, 2^970277890560 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 970277890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715415242112).

970277890560 is an abundant number, since it is smaller than the sum of its proper divisors (2460552593664).

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

970277890560 is a wasteful number, since it uses less digits than its factorization.

970277890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 60.

The spelling of 970277890560 in words is "nine hundred seventy billion, two hundred seventy-seven million, eight hundred ninety thousand, five hundred sixty".