18074912400 has 240 divisors, whose sum is σ = 65831113920. Its totient is φ = 4707763200.

The previous prime is 18074912381. The next prime is 18074912419. The reversal of 18074912400 is 421947081.

18074912400 is a `hidden beast` number, since 180 + 74 + 9 + 1 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (18074912381) and next prime (18074912419).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 444940 + ... + 483860.

It is an arithmetic number, because the mean of its divisors is an integer number (274296308).

Almost surely, 2^18074912400 is an apocalyptic number.

18074912400 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 18074912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32915556960).

18074912400 is an abundant number, since it is smaller than the sum of its proper divisors (47756201520).

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

18074912400 is a wasteful number, since it uses less digits than its factorization.

18074912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38991 (or 38974 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18074912400 in words is "eighteen billion, seventy-four million, nine hundred twelve thousand, four hundred".