70705094400 has 1080 divisors, whose sum is σ = 283189937184. Its totient is φ = 17340825600.

The previous prime is 70705094399. The next prime is 70705094431. The reversal of 70705094400 is 449050707.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×70705094400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 625708744 + ... + 625708856.

Almost surely, 2^70705094400 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 70705094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141594968592).

70705094400 is an abundant number, since it is smaller than the sum of its proper divisors (212484842784).

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

70705094400 is a wasteful number, since it uses less digits than its factorization.

70705094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 70705094400 in words is "seventy billion, seven hundred five million, ninety-four thousand, four hundred".