7956544395360 has 768 divisors, whose sum is σ = 28941973401600. Its totient is φ = 1819548057600.

The previous prime is 7956544395323. The next prime is 7956544395391. The reversal of 7956544395360 is 635934456597.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7956544395291 and 7956544395300.

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, 1173355170 + ... + 1173361950.

It is an arithmetic number, because the mean of its divisors is an integer number (37684861200).

Almost surely, 2^{7956544395360} 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 7956544395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470986700800).

7956544395360 is an abundant number, since it is smaller than the sum of its proper divisors (20985429006240).

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

7956544395360 is a wasteful number, since it uses less digits than its factorization.

7956544395360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 66.

The spelling of 7956544395360 in words is "seven trillion, nine hundred fifty-six billion, five hundred forty-four million, three hundred ninety-five thousand, three hundred sixty".