4768760256 has 112 divisors (see below), whose sum is σ = 14026457088. Its totient is φ = 1419955200.

The previous prime is 4768760209. The next prime is 4768760263. The reversal of 4768760256 is 6520678674.

It is a junction number, because it is equal to n+sod(n) for n = 4768760199 and 4768760208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46561 + ... + 108191.

It is an arithmetic number, because the mean of its divisors is an integer number (125236224).

Almost surely, 2^4768760256 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 4768760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013228544).

4768760256 is an abundant number, since it is smaller than the sum of its proper divisors (9257696832).

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

4768760256 is a wasteful number, since it uses less digits than its factorization.

4768760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61690 (or 61680 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 4768760256 is about 69056.2108430516. The cubic root of 4768760256 is about 1683.1978320583.

The spelling of 4768760256 in words is "four billion, seven hundred sixty-eight million, seven hundred sixty thousand, two hundred fifty-six".