70113792000 has 416 divisors, whose sum is σ = 266681136384. Its totient is φ = 16023552000.

The previous prime is 70113791989. The next prime is 70113792017. The reversal of 70113792000 is 29731107.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 10748740 + ... + 10755260.

It is an arithmetic number, because the mean of its divisors is an integer number (641060424).

Almost surely, 2^70113792000 is an apocalyptic number.

70113792000 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 70113792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133340568192).

70113792000 is an abundant number, since it is smaller than the sum of its proper divisors (196567344384).

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

70113792000 is an equidigital number, since it uses as much as digits as its factorization.

70113792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The spelling of 70113792000 in words is "seventy billion, one hundred thirteen million, seven hundred ninety-two thousand".