18672242400 has 1728 divisors, whose sum is σ = 88914309120. Its totient is φ = 3583180800.

The previous prime is 18672242399. The next prime is 18672242429. The reversal of 18672242400 is 424227681.

18672242400 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 2 + 242 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 504655182 + ... + 504655218.

It is an arithmetic number, because the mean of its divisors is an integer number (51455040).

Almost surely, 2^18672242400 is an apocalyptic number.

18672242400 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 18672242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560).

18672242400 is an abundant number, since it is smaller than the sum of its proper divisors (70242066720).

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

18672242400 is a wasteful number, since it uses less digits than its factorization.

18672242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 18672242400 in words is "eighteen billion, six hundred seventy-two million, two hundred forty-two thousand, four hundred".