18628632000 has 672 divisors, whose sum is σ = 74522283264. Its totient is φ = 4402944000.

The previous prime is 18628631971. The next prime is 18628632049. The reversal of 18628632000 is 23682681.

18628632000 is a `hidden beast` number, since 1 + 8 + 628 + 6 + 3 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34055727 + ... + 34056273.

Almost surely, 2^18628632000 is an apocalyptic number.

18628632000 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 18628632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37261141632).

18628632000 is an abundant number, since it is smaller than the sum of its proper divisors (55893651264).

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

18628632000 is a wasteful number, since it uses less digits than its factorization.

18628632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18628632000 in words is "eighteen billion, six hundred twenty-eight million, six hundred thirty-two thousand".