18764190900 has 432 divisors, whose sum is σ = 72818089344. Its totient is φ = 3935554560.

The previous prime is 18764190859. The next prime is 18764190923. The reversal of 18764190900 is 909146781.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16133719 + ... + 16134881.

It is an arithmetic number, because the mean of its divisors is an integer number (168560392).

Almost surely, 2^18764190900 is an apocalyptic number.

18764190900 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 18764190900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36409044672).

18764190900 is an abundant number, since it is smaller than the sum of its proper divisors (54053898444).

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

18764190900 is a wasteful number, since it uses less digits than its factorization.

18764190900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 18764190900 in words is "eighteen billion, seven hundred sixty-four million, one hundred ninety thousand, nine hundred".