4757575680 has 864 divisors, whose sum is σ = 20444795280. Its totient is φ = 1008599040.

The previous prime is 4757575639. The next prime is 4757575709. The reversal of 4757575680 is 865757574.

It is a happy number.

4757575680 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 575 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250398711 + ... + 250398729.

Almost surely, 2^4757575680 is an apocalyptic number.

4757575680 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 4757575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10222397640).

4757575680 is an abundant number, since it is smaller than the sum of its proper divisors (15687219600).

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

4757575680 is a wasteful number, since it uses less digits than its factorization.

4757575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The square root of 4757575680 is about 68975.1816235376. The cubic root of 4757575680 is about 1681.8808866171.

The spelling of 4757575680 in words is "four billion, seven hundred fifty-seven million, five hundred seventy-five thousand, six hundred eighty".