4776315984 has 200 divisors, whose sum is σ = 15275272320. Its totient is φ = 1428710400.

The previous prime is 4776315967. The next prime is 4776315997. The reversal of 4776315984 is 4895136774.

4776315984 is a `hidden beast` number, since 47 + 7 + 6 + 3 + 1 + 598 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4776315984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124104 + ... + 1128344.

Almost surely, 2^4776315984 is an apocalyptic number.

4776315984 is a gapful number since it is divisible by the number (44) 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 4776315984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637636160).

4776315984 is an abundant number, since it is smaller than the sum of its proper divisors (10498956336).

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

4776315984 is a wasteful number, since it uses less digits than its factorization.

4776315984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4336 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 4776315984 is about 69110.8962754789. The cubic root of 4776315984 is about 1684.0863281198.

The spelling of 4776315984 in words is "four billion, seven hundred seventy-six million, three hundred fifteen thousand, nine hundred eighty-four".