20007648000 has 864 divisors, whose sum is σ = 77996685312. Its totient is φ = 5101056000.

The previous prime is 20007647987. The next prime is 20007648019. The reversal of 20007648000 is 84670002.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241055959 + ... + 241056041.

Almost surely, 2^20007648000 is an apocalyptic number.

20007648000 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 20007648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38998342656).

20007648000 is an abundant number, since it is smaller than the sum of its proper divisors (57989037312).

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

20007648000 is an frugal number, since it uses more digits than its factorization.

20007648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 20007648000 in words is "twenty billion, seven million, six hundred forty-eight thousand".