18682340400 has 180 divisors, whose sum is σ = 68646836232. Its totient is φ = 4688885760.

The previous prime is 18682340297. The next prime is 18682340401. The reversal of 18682340400 is 404328681.

18682340400 is a `hidden beast` number, since 18 + 6 + 8 + 234 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (18682340401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91434 + ... + 213833.

Almost surely, 2^18682340400 is an apocalyptic number.

18682340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18682340400 is an abundant number, since it is smaller than the sum of its proper divisors (49964495832).

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

18682340400 is a wasteful number, since it uses less digits than its factorization.

18682340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305308 (or 305294 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18682340400 in words is "eighteen billion, six hundred eighty-two million, three hundred forty thousand, four hundred".