18787667400 has 432 divisors, whose sum is σ = 68956161300. Its totient is φ = 4578094080.

The previous prime is 18787667399. The next prime is 18787667407. The reversal of 18787667400 is 476678781.

It can be written as a sum of positive squares in 6 ways, for example, as 10738347876 + 8049319524 = 103626^2 + 89718^2 .

It is not an unprimeable number, because it can be changed into a prime (18787667407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18843702 + ... + 18844698.

Almost surely, 2^18787667400 is an apocalyptic number.

18787667400 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 18787667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34478080650).

18787667400 is an abundant number, since it is smaller than the sum of its proper divisors (50168493900).

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

18787667400 is a wasteful number, since it uses less digits than its factorization.

18787667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 18787667400 in words is "eighteen billion, seven hundred eighty-seven million, six hundred sixty-seven thousand, four hundred".