7956008877120 has 896 divisors, whose sum is σ = 27482450300928. Its totient is φ = 1945202688000.

The previous prime is 7956008877083. The next prime is 7956008877121. The reversal of 7956008877120 is 217788006597.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (7956008877121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9810121515 + ... + 9810122325.

It is an arithmetic number, because the mean of its divisors is an integer number (30672377568).

Almost surely, 2^{7956008877120} 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 7956008877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741225150464).

7956008877120 is an abundant number, since it is smaller than the sum of its proper divisors (19526441423808).

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

7956008877120 is a wasteful number, since it uses less digits than its factorization.

7956008877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 60.

The spelling of 7956008877120 in words is "seven trillion, nine hundred fifty-six billion, eight million, eight hundred seventy-seven thousand, one hundred twenty".