7568272800 has 576 divisors, whose sum is σ = 30474299520. Its totient is φ = 1797120000.

The previous prime is 7568272799. The next prime is 7568272801. The reversal of 7568272800 is 82728657.

7568272800 is a `hidden beast` number, since 7 + 568 + 2 + 7 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7568272799) and next prime (7568272801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7568272801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12592500 + ... + 12593100.

It is an arithmetic number, because the mean of its divisors is an integer number (52906770).

Almost surely, 2^7568272800 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 7568272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237149760).

7568272800 is an abundant number, since it is smaller than the sum of its proper divisors (22906026720).

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

7568272800 is a wasteful number, since it uses less digits than its factorization.

7568272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7568272800 is about 86995.8205892674. The cubic root of 7568272800 is about 1963.3554213669.

The spelling of 7568272800 in words is "seven billion, five hundred sixty-eight million, two hundred seventy-two thousand, eight hundred".