18072617472000 has 3744 divisors, whose sum is σ = 83989101740544. Its totient is φ = 3703504896000.

The previous prime is 18072617471981. The next prime is 18072617472011. The reversal of 18072617472000 is 27471627081.

18072617472000 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 2 + 617 + 4 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 137958911935 + ... + 137958912065.

It is an arithmetic number, because the mean of its divisors is an integer number (22432986576).

Almost surely, 2^{18072617472000} is an apocalyptic number.

18072617472000 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 18072617472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41994550870272).

18072617472000 is an abundant number, since it is smaller than the sum of its proper divisors (65916484268544).

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

18072617472000 is a wasteful number, since it uses less digits than its factorization.

18072617472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 18072617472000 in words is "eighteen trillion, seventy-two billion, six hundred seventeen million, four hundred seventy-two thousand".