70940102400 has 1728 divisors, whose sum is σ = 306580377600. Its totient is φ = 15925248000.

The previous prime is 70940102399. The next prime is 70940102449. The reversal of 70940102400 is 420104907.

It is a happy number.

70940102400 is a `hidden beast` number, since 70 + 94 + 0 + 102 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1730246380 + ... + 1730246420.

It is an arithmetic number, because the mean of its divisors is an integer number (177419200).

Almost surely, 2^70940102400 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 70940102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153290188800).

70940102400 is an abundant number, since it is smaller than the sum of its proper divisors (235640275200).

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

70940102400 is a wasteful number, since it uses less digits than its factorization.

70940102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

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

The spelling of 70940102400 in words is "seventy billion, nine hundred forty million, one hundred two thousand, four hundred".