7956747279360 has 1408 divisors, whose sum is σ = 32399483673600. Its totient is φ = 1833916170240.

The previous prime is 7956747279347. The next prime is 7956747279391. The reversal of 7956747279360 is 639727476597.

7956747279360 is a `hidden beast` number, since 7 + 9 + 5 + 6 + 7 + 472 + 7 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2954602174 + ... + 2954604866.

Almost surely, 2^{7956747279360} 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 7956747279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199741836800).

7956747279360 is an abundant number, since it is smaller than the sum of its proper divisors (24442736394240).

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

7956747279360 is a wasteful number, since it uses less digits than its factorization.

7956747279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 840157920, while the sum is 72.

The spelling of 7956747279360 in words is "seven trillion, nine hundred fifty-six billion, seven hundred forty-seven million, two hundred seventy-nine thousand, three hundred sixty".