4777772160 has 256 divisors, whose sum is σ = 17618549760. Its totient is φ = 1078652928.

The previous prime is 4777772143. The next prime is 4777772171. The reversal of 4777772160 is 612777774.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113379 + ... + 1117661.

It is an arithmetic number, because the mean of its divisors is an integer number (68822460).

Almost surely, 2^4777772160 is an apocalyptic number.

4777772160 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 4777772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809274880).

4777772160 is an abundant number, since it is smaller than the sum of its proper divisors (12840777600).

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

4777772160 is a wasteful number, since it uses less digits than its factorization.

4777772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 806736, while the sum is 48.

The square root of 4777772160 is about 69121.4305407520. The cubic root of 4777772160 is about 1684.2574556112.

The spelling of 4777772160 in words is "four billion, seven hundred seventy-seven million, seven hundred seventy-two thousand, one hundred sixty".