70935992400 has 720 divisors, whose sum is σ = 284442223104. Its totient is φ = 14795089920.

The previous prime is 70935992399. The next prime is 70935992431. The reversal of 70935992400 is 429953907.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 70935992400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151896967 + ... + 151897433.

Almost surely, 2^70935992400 is an apocalyptic number.

70935992400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70935992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142221111552).

70935992400 is an abundant number, since it is smaller than the sum of its proper divisors (213506230704).

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

70935992400 is a wasteful number, since it uses less digits than its factorization.

70935992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 70935992400 in words is "seventy billion, nine hundred thirty-five million, nine hundred ninety-two thousand, four hundred".