18749966400 has 1008 divisors, whose sum is σ = 79925509440. Its totient is φ = 4257792000.

The previous prime is 18749966387. The next prime is 18749966401. The reversal of 18749966400 is 466994781.

It is a super-2 number, since 2×18749966400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18749966401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88862295 + ... + 88862505.

It is an arithmetic number, because the mean of its divisors is an integer number (79291180).

Almost surely, 2^18749966400 is an apocalyptic number.

18749966400 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 18749966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39962754720).

18749966400 is an abundant number, since it is smaller than the sum of its proper divisors (61175543040).

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

18749966400 is a wasteful number, since it uses less digits than its factorization.

18749966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 18749966400 in words is "eighteen billion, seven hundred forty-nine million, nine hundred sixty-six thousand, four hundred".