7951935271680 has 864 divisors, whose sum is σ = 29655277981056. Its totient is φ = 1962535550976.

The previous prime is 7951935271667. The next prime is 7951935271789. The reversal of 7951935271680 is 861725391597.

7951935271680 is a `hidden beast` number, since 7 + 9 + 5 + 1 + 93 + 527 + 16 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025126362 + ... + 1025134118.

It is an arithmetic number, because the mean of its divisors is an integer number (34323238404).

Almost surely, 2^{7951935271680} 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 7951935271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827638990528).

7951935271680 is an abundant number, since it is smaller than the sum of its proper divisors (21703342709376).

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

7951935271680 is a wasteful number, since it uses less digits than its factorization.

7951935271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 7951935271680 in words is "seven trillion, nine hundred fifty-one billion, nine hundred thirty-five million, two hundred seventy-one thousand, six hundred eighty".