7526052864 has 396 divisors, whose sum is σ = 25355280132. Its totient is φ = 2141061120.

The previous prime is 7526052829. The next prime is 7526052871. The reversal of 7526052864 is 4682506257.

7526052864 is a `hidden beast` number, since 7 + 5 + 2 + 60 + 528 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5464166400 + 2061886464 = 73920^2 + 45408^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18957114 + ... + 18957510.

Almost surely, 2^7526052864 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 7526052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677640066).

7526052864 is an abundant number, since it is smaller than the sum of its proper divisors (17829227268).

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

7526052864 is a wasteful number, since it uses less digits than its factorization.

7526052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 7526052864 is about 86752.8262594366. The cubic root of 7526052864 is about 1959.6977237580.

The spelling of 7526052864 in words is "seven billion, five hundred twenty-six million, fifty-two thousand, eight hundred sixty-four".