16621873632000 has 3456 divisors, whose sum is σ = 77996685312000. Its totient is φ = 3304488960000.

The previous prime is 16621873631941. The next prime is 16621873632073. The reversal of 16621873632000 is 23637812661.

16621873632000 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 1 + 8 + 7 + 3 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33310367751 + ... + 33310368249.

Almost surely, 2^{16621873632000} is an apocalyptic number.

16621873632000 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 16621873632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38998342656000).

16621873632000 is an abundant number, since it is smaller than the sum of its proper divisors (61374811680000).

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

16621873632000 is a wasteful number, since it uses less digits than its factorization.

16621873632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16621873632000 in words is "sixteen trillion, six hundred twenty-one billion, eight hundred seventy-three million, six hundred thirty-two thousand".