70713621457920 has 2464 divisors, whose sum is σ = 297252314136576. Its totient is φ = 15801827328000.

The previous prime is 70713621457907. The next prime is 70713621457993. The reversal of 70713621457920 is 2975412631707.

70713621457920 is a `hidden beast` number, since 7 + 0 + 7 + 1 + 3 + 62 + 1 + 4 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 335135646615 + ... + 335135646825.

Almost surely, 2^{70713621457920} is an apocalyptic number.

70713621457920 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 70713621457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148626157068288).

70713621457920 is an abundant number, since it is smaller than the sum of its proper divisors (226538692678656).

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

70713621457920 is a wasteful number, since it uses less digits than its factorization.

70713621457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 70713621457920 in words is "seventy trillion, seven hundred thirteen billion, six hundred twenty-one million, four hundred fifty-seven thousand, nine hundred twenty".