18072761406084 has 144 divisors (see below), whose sum is σ = 58031234352000. Its totient is φ = 4605653445120.

The previous prime is 18072761406067. The next prime is 18072761406103. The reversal of 18072761406084 is 48060416727081.

18072761406084 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 27 + 6 + 1 + 4 + 0 + 608 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18072761406084.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61360209 + ... + 61654040.

It is an arithmetic number, because the mean of its divisors is an integer number (402994683000).

Almost surely, 2^{18072761406084} is an apocalyptic number.

18072761406084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18072761406084 is an abundant number, since it is smaller than the sum of its proper divisors (39958472945916).

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

18072761406084 is a wasteful number, since it uses less digits than its factorization.

18072761406084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123014330 (or 123014325 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 18072761406084 in words is "eighteen trillion, seventy-two billion, seven hundred sixty-one million, four hundred six thousand, eighty-four".