20641626000 has 480 divisors, whose sum is σ = 76371040512. Its totient is φ = 5185382400.

The previous prime is 20641625929. The next prime is 20641626001. The reversal of 20641626000 is 62614602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20641626001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30221659 + ... + 30222341.

Almost surely, 2^20641626000 is an apocalyptic number.

20641626000 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 20641626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38185520256).

20641626000 is an abundant number, since it is smaller than the sum of its proper divisors (55729414512).

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

20641626000 is a wasteful number, since it uses less digits than its factorization.

20641626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20641626000 in words is "twenty billion, six hundred forty-one million, six hundred twenty-six thousand".