4676764160 has 120 divisors (see below), whose sum is σ = 11592754668. Its totient is φ = 1809408000.

The previous prime is 4676764159. The next prime is 4676764193. The reversal of 4676764160 is 614676764.

It can be written as a sum of positive squares in 2 ways, for example, as 4221880576 + 454883584 = 64976^2 + 21328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2459210 + ... + 2461110.

Almost surely, 2^4676764160 is an apocalyptic number.

4676764160 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 4676764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796377334).

4676764160 is an abundant number, since it is smaller than the sum of its proper divisors (6915990508).

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

4676764160 is an equidigital number, since it uses as much as digits as its factorization.

4676764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The square root of 4676764160 is about 68386.8712546495. The cubic root of 4676764160 is about 1672.3037229738.

The spelling of 4676764160 in words is "four billion, six hundred seventy-six million, seven hundred sixty-four thousand, one hundred sixty".