4616244864 has 768 divisors, whose sum is σ = 18232704000. Its totient is φ = 1122232320.

The previous prime is 4616244851. The next prime is 4616244907. The reversal of 4616244864 is 4684426164.

4616244864 is a `hidden beast` number, since 4 + 6 + 162 + 4 + 486 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55617367 + ... + 55617449.

It is an arithmetic number, because the mean of its divisors is an integer number (23740500).

Almost surely, 2^4616244864 is an apocalyptic number.

4616244864 is a gapful number since it is divisible by the number (44) 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 4616244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116352000).

4616244864 is an abundant number, since it is smaller than the sum of its proper divisors (13616459136).

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

4616244864 is a wasteful number, since it uses less digits than its factorization.

4616244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4616244864 is about 67942.9530120674. The cubic root of 4616244864 is about 1665.0589444273.

The spelling of 4616244864 in words is "four billion, six hundred sixteen million, two hundred forty-four thousand, eight hundred sixty-four".