4776659160 has 512 divisors, whose sum is σ = 18385920000. Its totient is φ = 986259456.

The previous prime is 4776659143. The next prime is 4776659161. The reversal of 4776659160 is 619566774.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4776659161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42271264 + ... + 42271376.

It is an arithmetic number, because the mean of its divisors is an integer number (35910000).

Almost surely, 2^4776659160 is an apocalyptic number.

4776659160 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 4776659160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960000).

4776659160 is an abundant number, since it is smaller than the sum of its proper divisors (13609260840).

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

4776659160 is a wasteful number, since it uses less digits than its factorization.

4776659160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 4776659160 is about 69113.3790231674. The cubic root of 4776659160 is about 1684.1266607506.

The spelling of 4776659160 in words is "four billion, seven hundred seventy-six million, six hundred fifty-nine thousand, one hundred sixty".