4977327960 has 256 divisors, whose sum is σ = 18185472000. Its totient is φ = 1200890880.

The previous prime is 4977327947. The next prime is 4977328009. The reversal of 4977327960 is 697237794.

4977327960 is a `hidden beast` number, since 497 + 73 + 27 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4977327897 and 4977327906.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2838444 + ... + 2840196.

It is an arithmetic number, because the mean of its divisors is an integer number (71037000).

Almost surely, 2^4977327960 is an apocalyptic number.

4977327960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977327960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092736000).

4977327960 is an abundant number, since it is smaller than the sum of its proper divisors (13208144040).

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

4977327960 is a wasteful number, since it uses less digits than its factorization.

4977327960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 4977327960 is about 70550.1804391739. The cubic root of 4977327960 is about 1707.3874540941.

The spelling of 4977327960 in words is "four billion, nine hundred seventy-seven million, three hundred twenty-seven thousand, nine hundred sixty".