4757860800 has 756 divisors, whose sum is σ = 21494791656. Its totient is φ = 987033600.

The previous prime is 4757860787. The next prime is 4757860829. The reversal of 4757860800 is 80687574.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761294 + ... + 7761906.

Almost surely, 2^4757860800 is an apocalyptic number.

4757860800 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 4757860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747395828).

4757860800 is an abundant number, since it is smaller than the sum of its proper divisors (16736930856).

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

4757860800 is a wasteful number, since it uses less digits than its factorization.

4757860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

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

The square root of 4757860800 is about 68977.2484229402. The cubic root of 4757860800 is about 1681.9144841418.

The spelling of 4757860800 in words is "four billion, seven hundred fifty-seven million, eight hundred sixty thousand, eight hundred".