18672413760 has 1792 divisors, whose sum is σ = 94383636480. Its totient is φ = 3344302080.

The previous prime is 18672413759. The next prime is 18672413797. The reversal of 18672413760 is 6731427681.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147026817 + ... + 147026943.

It is an arithmetic number, because the mean of its divisors is an integer number (52669440).

Almost surely, 2^18672413760 is an apocalyptic number.

18672413760 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 18672413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47191818240).

18672413760 is an abundant number, since it is smaller than the sum of its proper divisors (75711222720).

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

18672413760 is a wasteful number, since it uses less digits than its factorization.

18672413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 18672413760 in words is "eighteen billion, six hundred seventy-two million, four hundred thirteen thousand, seven hundred sixty".