4616764880 has 320 divisors, whose sum is σ = 13727121408. Its totient is φ = 1405347840.

The previous prime is 4616764879. The next prime is 4616764909. The reversal of 4616764880 is 884676164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35242415 + ... + 35242545.

Almost surely, 2^4616764880 is an apocalyptic number.

4616764880 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 4616764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863560704).

4616764880 is an abundant number, since it is smaller than the sum of its proper divisors (9110356528).

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

4616764880 is a wasteful number, since it uses less digits than its factorization.

4616764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 4616764880 is about 67946.7797618106. The cubic root of 4616764880 is about 1665.1214645641.

The spelling of 4616764880 in words is "four billion, six hundred sixteen million, seven hundred sixty-four thousand, eight hundred eighty".