7522579920 has 160 divisors (see below), whose sum is σ = 23817225600. Its totient is φ = 1963671552.

The previous prime is 7522579901. The next prime is 7522579937. The reversal of 7522579920 is 299752257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7522579920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433736 + ... + 2436824.

It is an arithmetic number, because the mean of its divisors is an integer number (148857660).

Almost surely, 2^7522579920 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 7522579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908612800).

7522579920 is an abundant number, since it is smaller than the sum of its proper divisors (16294645680).

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

7522579920 is a wasteful number, since it uses less digits than its factorization.

7522579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 7522579920 is about 86732.8076335593. The cubic root of 7522579920 is about 1959.3962391365.

The spelling of 7522579920 in words is "seven billion, five hundred twenty-two million, five hundred seventy-nine thousand, nine hundred twenty".