20673792000 has 480 divisors, whose sum is σ = 77142625560. Its totient is φ = 5507481600.

The previous prime is 20673791939. The next prime is 20673792011. The reversal of 20673792000 is 29737602.

20673792000 is a `hidden beast` number, since 20 + 67 + 379 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10102662144 + 10571129856 = 100512^2 + 102816^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735502 + ... + 20736498.

Almost surely, 2^20673792000 is an apocalyptic number.

20673792000 is a gapful number since it is divisible by the number (20) 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 20673792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38571312780).

20673792000 is an abundant number, since it is smaller than the sum of its proper divisors (56468833560).

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

20673792000 is an frugal number, since it uses more digits than its factorization.

20673792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 20673792000 in words is "twenty billion, six hundred seventy-three million, seven hundred ninety-two thousand".