70564972800 has 432 divisors, whose sum is σ = 271834601472. Its totient is φ = 15784550400.

The previous prime is 70564972787. The next prime is 70564972871. The reversal of 70564972800 is 827946507.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 70564972800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6311215 + ... + 6322385.

Almost surely, 2^70564972800 is an apocalyptic number.

70564972800 is a gapful number since it is divisible by the number (70) 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 70564972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135917300736).

70564972800 is an abundant number, since it is smaller than the sum of its proper divisors (201269628672).

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

70564972800 is a wasteful number, since it uses less digits than its factorization.

70564972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11254 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 70564972800 in words is "seventy billion, five hundred sixty-four million, nine hundred seventy-two thousand, eight hundred".