70813310400 has 1344 divisors, whose sum is σ = 309920640000. Its totient is φ = 15911562240.

The previous prime is 70813310387. The next prime is 70813310437. The reversal of 70813310400 is 401331807.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1200225571 + ... + 1200225629.

Almost surely, 2^70813310400 is an apocalyptic number.

70813310400 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 70813310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154960320000).

70813310400 is an abundant number, since it is smaller than the sum of its proper divisors (239107329600).

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

70813310400 is an frugal number, since it uses more digits than its factorization.

70813310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 70813310400 in words is "seventy billion, eight hundred thirteen million, three hundred ten thousand, four hundred".