7568756400 has 240 divisors, whose sum is σ = 26403667200. Its totient is φ = 1846010880.

The previous prime is 7568756399. The next prime is 7568756491. The reversal of 7568756400 is 46578657.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 7568756400.

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 47 ways as a sum of consecutive naturals, for example, 655477 + ... + 666923.

It is an arithmetic number, because the mean of its divisors is an integer number (110015280).

Almost surely, 2^7568756400 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 7568756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13201833600).

7568756400 is an abundant number, since it is smaller than the sum of its proper divisors (18834910800).

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

7568756400 is a wasteful number, since it uses less digits than its factorization.

7568756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 7568756400 is about 86998.5999887355. The cubic root of 7568756400 is about 1963.3972388543.

The spelling of 7568756400 in words is "seven billion, five hundred sixty-eight million, seven hundred fifty-six thousand, four hundred".