4776516864 has 324 divisors, whose sum is σ = 16624293504. Its totient is φ = 1363848192.

The previous prime is 4776516853. The next prime is 4776516889. The reversal of 4776516864 is 4686156774.

4776516864 is a `hidden beast` number, since 47 + 7 + 6 + 516 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×4776516864² = 45630226704152788992, which contains 22 as substring.

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 4776516864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047409 + ... + 3048975.

Almost surely, 2^4776516864 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 4776516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312146752).

4776516864 is an abundant number, since it is smaller than the sum of its proper divisors (11847776640).

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

4776516864 is an equidigital number, since it uses as much as digits as its factorization.

4776516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1579 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 4776516864 is about 69112.3495766133. The cubic root of 4776516864 is about 1684.1099372863.

The spelling of 4776516864 in words is "four billion, seven hundred seventy-six million, five hundred sixteen thousand, eight hundred sixty-four".