70640812800 has 540 divisors, whose sum is σ = 267349824280. Its totient is φ = 18393661440.

The previous prime is 70640812787. The next prime is 70640812811. The reversal of 70640812800 is 821804607.

70640812800 is a `hidden beast` number, since 7 + 0 + 640 + 8 + 1 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22289616 + ... + 22292784.

Almost surely, 2^70640812800 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 70640812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133674912140).

70640812800 is an abundant number, since it is smaller than the sum of its proper divisors (196709011480).

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

70640812800 is a wasteful number, since it uses less digits than its factorization.

70640812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 70640812800 in words is "seventy billion, six hundred forty million, eight hundred twelve thousand, eight hundred".