4976756736 has 288 divisors, whose sum is σ = 15745242240. Its totient is φ = 1393459200.

The previous prime is 4976756723. The next prime is 4976756753. The reversal of 4976756736 is 6376576794.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4976756736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18364281 + ... + 18364551.

It is an arithmetic number, because the mean of its divisors is an integer number (54670980).

Almost surely, 2^4976756736 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 4976756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872621120).

4976756736 is an abundant number, since it is smaller than the sum of its proper divisors (10768485504).

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

4976756736 is a wasteful number, since it uses less digits than its factorization.

4976756736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 344 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 60.

The square root of 4976756736 is about 70546.1319705057. The cubic root of 4976756736 is about 1707.3221353788.

The spelling of 4976756736 in words is "four billion, nine hundred seventy-six million, seven hundred fifty-six thousand, seven hundred thirty-six".