70540412928000 has 1920 divisors, whose sum is σ = 260277141196800. Its totient is φ = 16894918656000.

The previous prime is 70540412927989. The next prime is 70540412928001. The reversal of 70540412928000 is 82921404507.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70540412928001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 226818047845 + ... + 226818048155.

It is an arithmetic number, because the mean of its divisors is an integer number (135561011040).

Almost surely, 2^{70540412928000} 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 70540412928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130138570598400).

70540412928000 is an abundant number, since it is smaller than the sum of its proper divisors (189736728268800).

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

70540412928000 is a wasteful number, since it uses less digits than its factorization.

70540412928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 70540412928000 in words is "seventy trillion, five hundred forty billion, four hundred twelve million, nine hundred twenty-eight thousand".