4779476812656 has 1600 divisors, whose sum is σ = 18503749017600. Its totient is φ = 1156919500800.

The previous prime is 4779476812601. The next prime is 4779476812661. The reversal of 4779476812656 is 6562186749774.

4779476812656 is a `hidden beast` number, since 4 + 7 + 7 + 9 + 476 + 81 + 26 + 56 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6467491935 + ... + 6467492673.

It is an arithmetic number, because the mean of its divisors is an integer number (11564843136).

Almost surely, 2^{4779476812656} 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 4779476812656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9251874508800).

4779476812656 is an abundant number, since it is smaller than the sum of its proper divisors (13724272204944).

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

4779476812656 is a wasteful number, since it uses less digits than its factorization.

4779476812656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 4779476812656 in words is "four trillion, seven hundred seventy-nine billion, four hundred seventy-six million, eight hundred twelve thousand, six hundred fifty-six".