18763290000 has 1200 divisors, whose sum is σ = 84602918400. Its totient is φ = 3773952000.

The previous prime is 18763289999. The next prime is 18763290017. The reversal of 18763290000 is 9236781.

18763290000 is a `hidden beast` number, since 18 + 7 + 632 + 9 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×18763290000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 237509961 + ... + 237510039.

It is an arithmetic number, because the mean of its divisors is an integer number (70502432).

Almost surely, 2^18763290000 is an apocalyptic number.

18763290000 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 18763290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301459200).

18763290000 is an abundant number, since it is smaller than the sum of its proper divisors (65839628400).

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

18763290000 is a wasteful number, since it uses less digits than its factorization.

18763290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 18763290000 in words is "eighteen billion, seven hundred sixty-three million, two hundred ninety thousand".