70038950400 has 600 divisors, whose sum is σ = 265416498864. Its totient is φ = 18231091200.

The previous prime is 70038950389. The next prime is 70038950413. The reversal of 70038950400 is 405983007.

70038950400 is a `hidden beast` number, since 70 + 0 + 3 + 89 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44581615 + ... + 44583185.

Almost surely, 2^70038950400 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 70038950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132708249432).

70038950400 is an abundant number, since it is smaller than the sum of its proper divisors (195377548464).

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

70038950400 is a wasteful number, since it uses less digits than its factorization.

70038950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 70038950400 in words is "seventy billion, thirty-eight million, nine hundred fifty thousand, four hundred".