70488416768000 has 1664 divisors, whose sum is σ = 232873720934400. Its totient is φ = 20633812992000.

The previous prime is 70488416767961. The next prime is 70488416768027. The reversal of 70488416768000 is 86761488407.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104118783662 + ... + 104118784338.

It is an arithmetic number, because the mean of its divisors is an integer number (139948149600).

Almost surely, 2^{70488416768000} is an apocalyptic number.

70488416768000 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 70488416768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116436860467200).

70488416768000 is an abundant number, since it is smaller than the sum of its proper divisors (162385304166400).

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

70488416768000 is a wasteful number, since it uses less digits than its factorization.

70488416768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 59.

The spelling of 70488416768000 in words is "seventy trillion, four hundred eighty-eight billion, four hundred sixteen million, seven hundred sixty-eight thousand".