4776855600 has 240 divisors, whose sum is σ = 16862920704. Its totient is φ = 1146240000.

The previous prime is 4776855581. The next prime is 4776855613. The reversal of 4776855600 is 65586774.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4776855600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331409 + ... + 1334991.

Almost surely, 2^4776855600 is an apocalyptic number.

4776855600 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 4776855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431460352).

4776855600 is an abundant number, since it is smaller than the sum of its proper divisors (12086065104).

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

4776855600 is a wasteful number, since it uses less digits than its factorization.

4776855600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 4776855600 is about 69114.8001516318. The cubic root of 4776855600 is about 1684.1497469911.

The spelling of 4776855600 in words is "four billion, seven hundred seventy-six million, eight hundred fifty-five thousand, six hundred".