18462712320 has 560 divisors, whose sum is σ = 71569841112. Its totient is φ = 4538695680.

The previous prime is 18462712313. The next prime is 18462712321. The reversal of 18462712320 is 2321726481.

It is a happy number.

18462712320 is a `hidden beast` number, since 1 + 8 + 4 + 627 + 1 + 2 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4958413056 + 13504299264 = 70416^2 + 116208^2 .

It is a super-2 number, since 2×18462712320² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18462712321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24260740 + ... + 24261500.

Almost surely, 2^18462712320 is an apocalyptic number.

18462712320 is a gapful number since it is divisible by the number (10) 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 18462712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35784920556).

18462712320 is an abundant number, since it is smaller than the sum of its proper divisors (53107128792).

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

18462712320 is an frugal number, since it uses more digits than its factorization.

18462712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18462712320 in words is "eighteen billion, four hundred sixty-two million, seven hundred twelve thousand, three hundred twenty".