4644560016 has 120 divisors (see below), whose sum is σ = 13592255040. Its totient is φ = 1477732608.

The previous prime is 4644560009. The next prime is 4644560029. The reversal of 4644560016 is 6100654464.

4644560016 is a `hidden beast` number, since 4 + 6 + 4 + 45 + 600 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942950 + ... + 1945338.

It is an arithmetic number, because the mean of its divisors is an integer number (113268792).

Almost surely, 2^4644560016 is an apocalyptic number.

4644560016 is a gapful number since it is divisible by the number (46) 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 4644560016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796127520).

4644560016 is an abundant number, since it is smaller than the sum of its proper divisors (8947695024).

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

4644560016 is a wasteful number, since it uses less digits than its factorization.

4644560016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4644560016 is about 68151.0089140286. The cubic root of 4644560016 is about 1668.4563904764.

The spelling of 4644560016 in words is "four billion, six hundred forty-four million, five hundred sixty thousand, sixteen".