4754568000 has 672 divisors, whose sum is σ = 19730850048. Its totient is φ = 999936000.

The previous prime is 4754567971. The next prime is 4754568017. The reversal of 4754568000 is 8654574.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4754568000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15287845 + ... + 15288155.

It is an arithmetic number, because the mean of its divisors is an integer number (29361384).

Almost surely, 2^4754568000 is an apocalyptic number.

4754568000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4754568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865425024).

4754568000 is an abundant number, since it is smaller than the sum of its proper divisors (14976282048).

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

4754568000 is a wasteful number, since it uses less digits than its factorization.

4754568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 4754568000 is about 68953.3755518901. The cubic root of 4754568000 is about 1681.5263905315.

The spelling of 4754568000 in words is "four billion, seven hundred fifty-four million, five hundred sixty-eight thousand".