7918056960 has 320 divisors, whose sum is σ = 29073496320. Its totient is φ = 1818132480.

The previous prime is 7918056919. The next prime is 7918056967. The reversal of 7918056960 is 696508197.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7918056967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602654 + ... + 1607586.

It is an arithmetic number, because the mean of its divisors is an integer number (90854676).

Almost surely, 2^7918056960 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 7918056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536748160).

7918056960 is an abundant number, since it is smaller than the sum of its proper divisors (21155439360).

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

7918056960 is a wasteful number, since it uses less digits than its factorization.

7918056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 7918056960 is about 88983.4645313386. The cubic root of 7918056960 is about 1993.1479649500.

The spelling of 7918056960 in words is "seven billion, nine hundred eighteen million, fifty-six thousand, nine hundred sixty".