7959544094880 has 1920 divisors, whose sum is σ = 34311842611200. Its totient is φ = 1698588942336.

The previous prime is 7959544094869. The next prime is 7959544094911. The reversal of 7959544094880 is 884904459597.

7959544094880 is a `hidden beast` number, since 7 + 9 + 5 + 95 + 440 + 94 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7959544094799 and 7959544094808.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17967367939 + ... + 17967368381.

It is an arithmetic number, because the mean of its divisors is an integer number (17870751360).

Almost surely, 2^{7959544094880} is an apocalyptic number.

7959544094880 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 7959544094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155921305600).

7959544094880 is an abundant number, since it is smaller than the sum of its proper divisors (26352298516320).

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

7959544094880 is a wasteful number, since it uses less digits than its factorization.

7959544094880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 7959544094880 in words is "seven trillion, nine hundred fifty-nine billion, five hundred forty-four million, ninety-four thousand, eight hundred eighty".