4980656736 has 384 divisors, whose sum is σ = 17374694400. Its totient is φ = 1370234880.

The previous prime is 4980656731. The next prime is 4980656743. The reversal of 4980656736 is 6376560894.

4980656736 is a `hidden beast` number, since 49 + 8 + 0 + 6 + 567 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980656731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4684941 + ... + 4686003.

It is an arithmetic number, because the mean of its divisors is an integer number (45246600).

Almost surely, 2^4980656736 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 4980656736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

4980656736 is an abundant number, since it is smaller than the sum of its proper divisors (12394037664).

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

4980656736 is a wasteful number, since it uses less digits than its factorization.

4980656736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4980656736 is about 70573.7680445079. The cubic root of 4980656736 is about 1707.7679958811.

The spelling of 4980656736 in words is "four billion, nine hundred eighty million, six hundred fifty-six thousand, seven hundred thirty-six".