70864531200 has 648 divisors, whose sum is σ = 266879283216. Its totient is φ = 17915904000.

The previous prime is 70864531193. The next prime is 70864531223. The reversal of 70864531200 is 213546807.

70864531200 is a `hidden beast` number, since 7 + 0 + 8 + 645 + 3 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 87378795 + ... + 87379605.

Almost surely, 2^70864531200 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 70864531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133439641608).

70864531200 is an abundant number, since it is smaller than the sum of its proper divisors (196014752016).

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

70864531200 is a wasteful number, since it uses less digits than its factorization.

70864531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 70864531200 in words is "seventy billion, eight hundred sixty-four million, five hundred thirty-one thousand, two hundred".