70812705600 has 672 divisors, whose sum is σ = 317726608640. Its totient is φ = 14939873280.

The previous prime is 70812705589. The next prime is 70812705611. The reversal of 70812705600 is 650721807.

70812705600 is a `hidden beast` number, since 70 + 8 + 1 + 27 + 0 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70812705589) and next prime (70812705611).

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3922194 + ... + 3940206.

Almost surely, 2^70812705600 is an apocalyptic number.

70812705600 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 70812705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158863304320).

70812705600 is an abundant number, since it is smaller than the sum of its proper divisors (246913903040).

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

70812705600 is a wasteful number, since it uses less digits than its factorization.

70812705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18064 (or 18043 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 70812705600 in words is "seventy billion, eight hundred twelve million, seven hundred five thousand, six hundred".