70113863476800 has 4704 divisors, whose sum is σ = 326878983406080. Its totient is φ = 14533381324800.

The previous prime is 70113863476799. The next prime is 70113863476819. The reversal of 70113863476800 is 867436831107.

70113863476800 is a `hidden beast` number, since 7 + 0 + 1 + 1 + 38 + 63 + 476 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 224005953444 + ... + 224005953756.

Almost surely, 2^{70113863476800} 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 70113863476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163439491703040).

70113863476800 is an abundant number, since it is smaller than the sum of its proper divisors (256765119929280).

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

70113863476800 is a wasteful number, since it uses less digits than its factorization.

70113863476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 70113863476800 in words is "seventy trillion, one hundred thirteen billion, eight hundred sixty-three million, four hundred seventy-six thousand, eight hundred".