4757356800 has 1296 divisors, whose sum is σ = 22141916160. Its totient is φ = 985374720.

The previous prime is 4757356787. The next prime is 4757356811. The reversal of 4757356800 is 86537574.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 206841589 + ... + 206841611.

Almost surely, 2^4757356800 is an apocalyptic number.

4757356800 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 4757356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070958080).

4757356800 is an abundant number, since it is smaller than the sum of its proper divisors (17384559360).

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

4757356800 is a wasteful number, since it uses less digits than its factorization.

4757356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 4757356800 is about 68973.5949476320. The cubic root of 4757356800 is about 1681.8550936671.

The spelling of 4757356800 in words is "four billion, seven hundred fifty-seven million, three hundred fifty-six thousand, eight hundred".