7956094648320 has 2304 divisors, whose sum is σ = 35823917122560. Its totient is φ = 1651129712640.

The previous prime is 7956094648319. The next prime is 7956094648331. The reversal of 7956094648320 is 238464906597.

7956094648320 is a `hidden beast` number, since 7 + 9 + 5 + 60 + 94 + 6 + 483 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×7956094648320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 130427781090 + ... + 130427781150.

It is an arithmetic number, because the mean of its divisors is an integer number (15548575140).

Almost surely, 2^{7956094648320} is an apocalyptic number.

7956094648320 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 7956094648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911958561280).

7956094648320 is an abundant number, since it is smaller than the sum of its proper divisors (27867822474240).

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

7956094648320 is an frugal number, since it uses more digits than its factorization.

7956094648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 7956094648320 in words is "seven trillion, nine hundred fifty-six billion, ninety-four million, six hundred forty-eight thousand, three hundred twenty".