7523032064 has 132 divisors (see below), whose sum is σ = 16247022624. Its totient is φ = 3479666688.

The previous prime is 7523032063. The next prime is 7523032093. The reversal of 7523032064 is 4602303257.

It is a super-2 number, since 2×7523032064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7523032064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7523032061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17373992 + ... + 17374424.

Almost surely, 2^7523032064 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 7523032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123511312).

7523032064 is an abundant number, since it is smaller than the sum of its proper divisors (8723990560).

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

7523032064 is a wasteful number, since it uses less digits than its factorization.

7523032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 7523032064 is about 86735.4141282556. The cubic root of 7523032064 is about 1959.4354947958.

The spelling of 7523032064 in words is "seven billion, five hundred twenty-three million, thirty-two thousand, sixty-four".