4777645104 has 120 divisors (see below), whose sum is σ = 13831114752. Its totient is φ = 1537937280.

The previous prime is 4777645021. The next prime is 4777645141. The reversal of 4777645104 is 4015467774.

4777645104 is a `hidden beast` number, since 4 + 7 + 77 + 64 + 510 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4777645104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3048129 + ... + 3049695.

Almost surely, 2^4777645104 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 4777645104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915557376).

4777645104 is an abundant number, since it is smaller than the sum of its proper divisors (9053469648).

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

4777645104 is a wasteful number, since it uses less digits than its factorization.

4777645104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4777645104 is about 69120.5114564411. The cubic root of 4777645104 is about 1684.2425255765.

The spelling of 4777645104 in words is "four billion, seven hundred seventy-seven million, six hundred forty-five thousand, one hundred four".