21643100640 has 768 divisors, whose sum is σ = 92123136000. Its totient is φ = 4635740160.

The previous prime is 21643100581. The next prime is 21643100657. The reversal of 21643100640 is 4600134612.

21643100640 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 3 + 10 + 0 + 640 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79863705 + ... + 79863975.

It is an arithmetic number, because the mean of its divisors is an integer number (119952000).

Almost surely, 2^21643100640 is an apocalyptic number.

21643100640 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 21643100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061568000).

21643100640 is an abundant number, since it is smaller than the sum of its proper divisors (70480035360).

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

21643100640 is a wasteful number, since it uses less digits than its factorization.

21643100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

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

The spelling of 21643100640 in words is "twenty-one billion, six hundred forty-three million, one hundred thousand, six hundred forty".