7564480880 has 120 divisors (see below), whose sum is σ = 19647068400. Its totient is φ = 2686172160.

The previous prime is 7564480867. The next prime is 7564480907. The reversal of 7564480880 is 880844657.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624796 + ... + 1629444.

It is an arithmetic number, because the mean of its divisors is an integer number (163725570).

Almost surely, 2^7564480880 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 7564480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823534200).

7564480880 is an abundant number, since it is smaller than the sum of its proper divisors (12082587520).

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

7564480880 is a wasteful number, since it uses less digits than its factorization.

7564480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The square root of 7564480880 is about 86974.0241681388. The cubic root of 7564480880 is about 1963.0274676140.

The spelling of 7564480880 in words is "seven billion, five hundred sixty-four million, four hundred eighty thousand, eight hundred eighty".