7556985968 has 80 divisors (see below), whose sum is σ = 17235176640. Its totient is φ = 3142084608.

The previous prime is 7556985941. The next prime is 7556985977. The reversal of 7556985968 is 8695896557.

It is a junction number, because it is equal to n+sod(n) for n = 7556985898 and 7556985907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543268 + ... + 1548156.

It is an arithmetic number, because the mean of its divisors is an integer number (215439708).

Almost surely, 2^7556985968 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 7556985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617588320).

7556985968 is an abundant number, since it is smaller than the sum of its proper divisors (9678190672).

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

7556985968 is a wasteful number, since it uses less digits than its factorization.

7556985968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5308 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 68.

The square root of 7556985968 is about 86930.9264186227. The cubic root of 7556985968 is about 1962.3789287312.

The spelling of 7556985968 in words is "seven billion, five hundred fifty-six million, nine hundred eighty-five thousand, nine hundred sixty-eight".