4773656160 has 384 divisors, whose sum is σ = 20565135360. Its totient is φ = 1007106048.

The previous prime is 4773656149. The next prime is 4773656161. The reversal of 4773656160 is 616563774.

4773656160 is a `hidden beast` number, since 477 + 3 + 65 + 61 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4773656161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387049 + ... + 399191.

It is an arithmetic number, because the mean of its divisors is an integer number (53555040).

Almost surely, 2^4773656160 is an apocalyptic number.

4773656160 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 4773656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282567680).

4773656160 is an abundant number, since it is smaller than the sum of its proper divisors (15791479200).

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

4773656160 is a wasteful number, since it uses less digits than its factorization.

4773656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4773656160 is about 69091.6504362141. The cubic root of 4773656160 is about 1683.7736600164.

The spelling of 4773656160 in words is "four billion, seven hundred seventy-three million, six hundred fifty-six thousand, one hundred sixty".