7521275664 has 120 divisors (see below), whose sum is σ = 24078637440. Its totient is φ = 2146927104.

The previous prime is 7521275623. The next prime is 7521275687. The reversal of 7521275664 is 4665721257.

7521275664 is a `hidden beast` number, since 75 + 2 + 12 + 7 + 566 + 4 = 666.

It is a super-2 number, since 2×7521275664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326724 + ... + 1332380.

It is an arithmetic number, because the mean of its divisors is an integer number (200655312).

Almost surely, 2^7521275664 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 7521275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039318720).

7521275664 is an abundant number, since it is smaller than the sum of its proper divisors (16557361776).

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

7521275664 is a wasteful number, since it uses less digits than its factorization.

7521275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6988 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 7521275664 is about 86725.2884918811. The cubic root of 7521275664 is about 1959.2829933247.

The spelling of 7521275664 in words is "seven billion, five hundred twenty-one million, two hundred seventy-five thousand, six hundred sixty-four".