4816618560 has 896 divisors, whose sum is σ = 20107046400. Its totient is φ = 1074954240.

The previous prime is 4816618553. The next prime is 4816618603. The reversal of 4816618560 is 658166184.

4816618560 is a `hidden beast` number, since 4 + 81 + 6 + 6 + 1 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78960930 + ... + 78960990.

It is an arithmetic number, because the mean of its divisors is an integer number (22440900).

Almost surely, 2^4816618560 is an apocalyptic number.

4816618560 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 4816618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053523200).

4816618560 is an abundant number, since it is smaller than the sum of its proper divisors (15290427840).

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

4816618560 is a wasteful number, since it uses less digits than its factorization.

4816618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4816618560 is about 69401.8627992073. The cubic root of 4816618560 is about 1688.8098432790.

The spelling of 4816618560 in words is "four billion, eight hundred sixteen million, six hundred eighteen thousand, five hundred sixty".