4613888000 has 192 divisors, whose sum is σ = 11728735200. Its totient is φ = 1811251200.

The previous prime is 4613887981. The next prime is 4613888011. The reversal of 4613888000 is 8883164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17151866 + ... + 17152134.

Almost surely, 2^4613888000 is an apocalyptic number.

4613888000 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 4613888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864367600).

4613888000 is an abundant number, since it is smaller than the sum of its proper divisors (7114847200).

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

4613888000 is an equidigital number, since it uses as much as digits as its factorization.

4613888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 4613888000 is about 67925.6063646104. The cubic root of 4613888000 is about 1664.7755260751.

The spelling of 4613888000 in words is "four billion, six hundred thirteen million, eight hundred eighty-eight thousand".