4977256576 has 64 divisors (see below), whose sum is σ = 10204383960. Its totient is φ = 2416435200.

The previous prime is 4977256567. The next prime is 4977256577. The reversal of 4977256576 is 6756527794.

It can be written as a sum of positive squares in 4 ways, for example, as 3595201600 + 1382054976 = 59960^2 + 37176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4977256576.

It is not an unprimeable number, because it can be changed into a prime (4977256577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3603406 + ... + 3604786.

Almost surely, 2^4977256576 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 4977256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102191980).

4977256576 is an abundant number, since it is smaller than the sum of its proper divisors (5227127384).

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

4977256576 is a wasteful number, since it uses less digits than its factorization.

4977256576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2181 counting only the distinct ones).

The product of its digits is 22226400, while the sum is 58.

The square root of 4977256576 is about 70549.6745279523. The cubic root of 4977256576 is about 1707.3792917006.

The spelling of 4977256576 in words is "four billion, nine hundred seventy-seven million, two hundred fifty-six thousand, five hundred seventy-six".