20631744000 has 1440 divisors, whose sum is σ = 93657728736. Its totient is φ = 4335206400.

The previous prime is 20631743989. The next prime is 20631744013. The reversal of 20631744000 is 44713602.

20631744000 is a `hidden beast` number, since 20 + 631 + 7 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 479807979 + ... + 479808021.

Almost surely, 2^20631744000 is an apocalyptic number.

20631744000 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 20631744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46828864368).

20631744000 is an abundant number, since it is smaller than the sum of its proper divisors (73025984736).

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

20631744000 is a wasteful number, since it uses less digits than its factorization.

20631744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 20631744000 in words is "twenty billion, six hundred thirty-one million, seven hundred forty-four thousand".