4618560000 has 400 divisors, whose sum is σ = 16337195424. Its totient is φ = 1155072000.

The previous prime is 4618559993. The next prime is 4618560013. The reversal of 4618560000 is 658164.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4618560000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16319859 + ... + 16320141.

Almost surely, 2^4618560000 is an apocalyptic number.

4618560000 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 4618560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168597712).

4618560000 is an abundant number, since it is smaller than the sum of its proper divisors (11718635424).

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

4618560000 is an equidigital number, since it uses as much as digits as its factorization.

4618560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4618560000 is about 67959.9882283686. The cubic root of 4618560000 is about 1665.3372509854.

The spelling of 4618560000 in words is "four billion, six hundred eighteen million, five hundred sixty thousand".