70601932800 has 1140 divisors, whose sum is σ = 314656085920. Its totient is φ = 15288238080.

The previous prime is 70601932783. The next prime is 70601932829. The reversal of 70601932800 is 823910607.

It is a tau number, because it is divible by the number of its divisors (1140).

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 (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3715891191 + ... + 3715891209.

Almost surely, 2^70601932800 is an apocalyptic number.

70601932800 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 70601932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157328042960).

70601932800 is an abundant number, since it is smaller than the sum of its proper divisors (244054153120).

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

70601932800 is an frugal number, since it uses more digits than its factorization.

70601932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 70601932800 in words is "seventy billion, six hundred one million, nine hundred thirty-two thousand, eight hundred".