4977732160000 has 100 divisors (see below), whose sum is σ = 12428200235682. Its totient is φ = 1991092736000.

The previous prime is 4977732159949. The next prime is 4977732160031. The reversal of 4977732160000 is 612377794.

It can be written as a sum of positive squares in 5 ways, for example, as 5260310784 + 4972471849216 = 72528^2 + 2229904^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7457707 + ... + 8097706.

Almost surely, 2^{4977732160000} is an apocalyptic number.

4977732160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4977732160000 is an abundant number, since it is smaller than the sum of its proper divisors (7450468075682).

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

4977732160000 is an frugal number, since it uses more digits than its factorization.

4977732160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555451 (or 15555420 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 4977732160000 in words is "four trillion, nine hundred seventy-seven billion, seven hundred thirty-two million, one hundred sixty thousand".