970269420456 has 288 divisors, whose sum is σ = 3135573866880. Its totient is φ = 270098035200.

The previous prime is 970269420397. The next prime is 970269420479. The reversal of 970269420456 is 654024962079.

970269420456 is a `hidden beast` number, since 97 + 0 + 2 + 69 + 42 + 0 + 456 = 666.

It is a super-2 number, since 2×970269420456² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119619841 + ... + 119627951.

It is an arithmetic number, because the mean of its divisors is an integer number (10887409260).

Almost surely, 2^970269420456 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 970269420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567786933440).

970269420456 is an abundant number, since it is smaller than the sum of its proper divisors (2165304446424).

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

970269420456 is a wasteful number, since it uses less digits than its factorization.

970269420456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 970269420456 in words is "nine hundred seventy billion, two hundred sixty-nine million, four hundred twenty thousand, four hundred fifty-six".