4616252160 has 576 divisors, whose sum is σ = 17361899520. Its totient is φ = 1035141120.

The previous prime is 4616252159. The next prime is 4616252171. The reversal of 4616252160 is 612526164.

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, 29402802 + ... + 29402958.

Almost surely, 2^4616252160 is an apocalyptic number.

4616252160 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 4616252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680949760).

4616252160 is an abundant number, since it is smaller than the sum of its proper divisors (12745647360).

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

4616252160 is a wasteful number, since it uses less digits than its factorization.

4616252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4616252160 is about 67943.0067041487. The cubic root of 4616252160 is about 1665.0598216384.

The spelling of 4616252160 in words is "four billion, six hundred sixteen million, two hundred fifty-two thousand, one hundred sixty".