4760757672 has 256 divisors, whose sum is σ = 14021683200. Its totient is φ = 1332756480.

The previous prime is 4760757643. The next prime is 4760757689. The reversal of 4760757672 is 2767570674.

It is a happy number.

It is a super-2 number, since 2×4760757672² = 45329627223013719168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34749988 + ... + 34750124.

It is an arithmetic number, because the mean of its divisors is an integer number (54772200).

Almost surely, 2^4760757672 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 4760757672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010841600).

4760757672 is an abundant number, since it is smaller than the sum of its proper divisors (9260925528).

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

4760757672 is a wasteful number, since it uses less digits than its factorization.

4760757672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 51.

The square root of 4760757672 is about 68998.2439776550. The cubic root of 4760757672 is about 1682.2557651409.

The spelling of 4760757672 in words is "four billion, seven hundred sixty million, seven hundred fifty-seven thousand, six hundred seventy-two".