4618681320 has 288 divisors, whose sum is σ = 15784886880. Its totient is φ = 1080288000.

The previous prime is 4618681189. The next prime is 4618681321. The reversal of 4618681320 is 231868164.

It is not an unprimeable number, because it can be changed into a prime (4618681321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13953555 + ... + 13953885.

It is an arithmetic number, because the mean of its divisors is an integer number (54808635).

Almost surely, 2^4618681320 is an apocalyptic number.

4618681320 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 4618681320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892443440).

4618681320 is an abundant number, since it is smaller than the sum of its proper divisors (11166205560).

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

4618681320 is a wasteful number, since it uses less digits than its factorization.

4618681320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4618681320 is about 67960.8808065346. The cubic root of 4618681320 is about 1665.3518325106.

The spelling of 4618681320 in words is "four billion, six hundred eighteen million, six hundred eighty-one thousand, three hundred twenty".