70013407082400 has 1728 divisors, whose sum is σ = 268346192744448. Its totient is φ = 17798151720960.

The previous prime is 70013407082363. The next prime is 70013407082407. The reversal of 70013407082400 is 428070431007.

It is a happy number.

70013407082400 is a `hidden beast` number, since 7 + 0 + 0 + 1 + 3 + 407 + 0 + 8 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (70013407082407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78932814757 + ... + 78932815643.

It is an arithmetic number, because the mean of its divisors is an integer number (155292935616).

Almost surely, 2^{70013407082400} 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 70013407082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134173096372224).

70013407082400 is an abundant number, since it is smaller than the sum of its proper divisors (198332785662048).

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

70013407082400 is a wasteful number, since it uses less digits than its factorization.

70013407082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 70013407082400 in words is "seventy trillion, thirteen billion, four hundred seven million, eighty-two thousand, four hundred".