70457869440000 has 2640 divisors, whose sum is σ = 306532447917696. Its totient is φ = 15825715200000.

The previous prime is 70457869439989. The next prime is 70457869440017. The reversal of 70457869440000 is 4496875407.

70457869440000 is a `hidden beast` number, since 7 + 0 + 4 + 578 + 69 + 4 + 4 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×70457869440000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66407039470 + ... + 66407040530.

Almost surely, 2^{70457869440000} is an apocalyptic number.

70457869440000 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 70457869440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153266223958848).

70457869440000 is an abundant number, since it is smaller than the sum of its proper divisors (236074578477696).

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

70457869440000 is an equidigital number, since it uses as much as digits as its factorization.

70457869440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 70457869440000 in words is "seventy trillion, four hundred fifty-seven billion, eight hundred sixty-nine million, four hundred forty thousand".