7520868576 has 192 divisors, whose sum is σ = 23682335040. Its totient is φ = 2308331520.

The previous prime is 7520868571. The next prime is 7520868599. The reversal of 7520868576 is 6758680257.

7520868576 is a `hidden beast` number, since 7 + 5 + 2 + 0 + 8 + 68 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7520868571) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7423846 + ... + 7424858.

It is an arithmetic number, because the mean of its divisors is an integer number (123345495).

Almost surely, 2^7520868576 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 7520868576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11841167520).

7520868576 is an abundant number, since it is smaller than the sum of its proper divisors (16161466464).

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

7520868576 is a wasteful number, since it uses less digits than its factorization.

7520868576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 7520868576 is about 86722.9414630293. The cubic root of 7520868576 is about 1959.2476440471.

It can be divided in two parts, 7520 and 868576, that added together give a square (876096 = 936²).

The spelling of 7520868576 in words is "seven billion, five hundred twenty million, eight hundred sixty-eight thousand, five hundred seventy-six".