18672713385984 has 288 divisors, whose sum is σ = 64878474024000. Its totient is φ = 5054267621376.

The previous prime is 18672713385979. The next prime is 18672713386009. The reversal of 18672713385984 is 48958331727681.

18672713385984 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 27 + 1 + 3 + 3 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357039 + ... + 6259950.

It is an arithmetic number, because the mean of its divisors is an integer number (225272479250).

Almost surely, 2^{18672713385984} is an apocalyptic number.

18672713385984 is a gapful number since it is divisible by the number (14) 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 18672713385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32439237012000).

18672713385984 is an abundant number, since it is smaller than the sum of its proper divisors (46205760638016).

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

18672713385984 is a wasteful number, since it uses less digits than its factorization.

18672713385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617043 (or 7617020 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 18672713385984 in words is "eighteen trillion, six hundred seventy-two billion, seven hundred thirteen million, three hundred eighty-five thousand, nine hundred eighty-four".