18304779579840 has 1008 divisors, whose sum is σ = 70385773506048. Its totient is φ = 4340293632000.

The previous prime is 18304779579769. The next prime is 18304779579869. The reversal of 18304779579840 is 4897597740381.

18304779579840 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 4 + 7 + 7 + 9 + 579 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8671140385 + ... + 8671142495.

It is an arithmetic number, because the mean of its divisors is an integer number (69827156256).

Almost surely, 2^{18304779579840} is an apocalyptic number.

18304779579840 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 18304779579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35192886753024).

18304779579840 is an abundant number, since it is smaller than the sum of its proper divisors (52080993926208).

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

18304779579840 is a wasteful number, since it uses less digits than its factorization.

18304779579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 18304779579840 in words is "eighteen trillion, three hundred four billion, seven hundred seventy-nine million, five hundred seventy-nine thousand, eight hundred forty".