4638118320 has 400 divisors, whose sum is σ = 18148838400. Its totient is φ = 1087603200.

The previous prime is 4638118319. The next prime is 4638118369. The reversal of 4638118320 is 238118364.

4638118320 is a `hidden beast` number, since 4 + 638 + 1 + 18 + 3 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2208631 + ... + 2210729.

It is an arithmetic number, because the mean of its divisors is an integer number (45372096).

Almost surely, 2^4638118320 is an apocalyptic number.

4638118320 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 4638118320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074419200).

4638118320 is an abundant number, since it is smaller than the sum of its proper divisors (13510720080).

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

4638118320 is a wasteful number, since it uses less digits than its factorization.

4638118320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4638118320 is about 68103.7320563271. The cubic root of 4638118320 is about 1667.6846875646.

The spelling of 4638118320 in words is "four billion, six hundred thirty-eight million, one hundred eighteen thousand, three hundred twenty".