7564750480 has 80 divisors (see below), whose sum is σ = 20128783104. Its totient is φ = 2589995520.

The previous prime is 7564750477. The next prime is 7564750493. The reversal of 7564750480 is 840574657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 7564750480.

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, 406990 + ... + 425170.

Almost surely, 2^7564750480 is an apocalyptic number.

7564750480 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 7564750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064391552).

7564750480 is an abundant number, since it is smaller than the sum of its proper divisors (12564032624).

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

7564750480 is a wasteful number, since it uses less digits than its factorization.

7564750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18944 (or 18938 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The square root of 7564750480 is about 86975.5740423712. The cubic root of 7564750480 is about 1963.0507882677.

The spelling of 7564750480 in words is "seven billion, five hundred sixty-four million, seven hundred fifty thousand, four hundred eighty".