7568042400 has 432 divisors, whose sum is σ = 28253691648. Its totient is φ = 1903104000.

The previous prime is 7568042357. The next prime is 7568042401. The reversal of 7568042400 is 42408657.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (7568042401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9150787 + ... + 9151613.

It is an arithmetic number, because the mean of its divisors is an integer number (65402064).

Almost surely, 2^7568042400 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 7568042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126845824).

7568042400 is an abundant number, since it is smaller than the sum of its proper divisors (20685649248).

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

7568042400 is a wasteful number, since it uses less digits than its factorization.

7568042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7568042400 is about 86994.4963776445. The cubic root of 7568042400 is about 1963.3354977686.

The spelling of 7568042400 in words is "seven billion, five hundred sixty-eight million, forty-two thousand, four hundred".