18677822400 has 420 divisors, whose sum is σ = 70884897600. Its totient is φ = 4819046400.

The previous prime is 18677822393. The next prime is 18677822473. The reversal of 18677822400 is 422877681.

It is a super-2 number, since 2×18677822400² (a number of 21 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 4015276 + ... + 4019924.

Almost surely, 2^18677822400 is an apocalyptic number.

18677822400 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 18677822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35442448800).

18677822400 is an abundant number, since it is smaller than the sum of its proper divisors (52207075200).

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

18677822400 is a wasteful number, since it uses less digits than its factorization.

18677822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 18677822400 in words is "eighteen billion, six hundred seventy-seven million, eight hundred twenty-two thousand, four hundred".