18279256320 has 648 divisors, whose sum is σ = 70460175240. Its totient is φ = 4370595840.

The previous prime is 18279256271. The next prime is 18279256321. The reversal of 18279256320 is 2365297281.

18279256320 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 9 + 2 + 5 + 632 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10789392384 + 7489863936 = 103872^2 + 86544^2 .

It is a super-2 number, since 2×18279256320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18279256321) 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, 79821966 + ... + 79822194.

Almost surely, 2^18279256320 is an apocalyptic number.

18279256320 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 18279256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35230087620).

18279256320 is an abundant number, since it is smaller than the sum of its proper divisors (52180918920).

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

18279256320 is a wasteful number, since it uses less digits than its factorization.

18279256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18279256320 in words is "eighteen billion, two hundred seventy-nine million, two hundred fifty-six thousand, three hundred twenty".