21368672640 has 384 divisors, whose sum is σ = 88040239200. Its totient is φ = 4884074496.

The previous prime is 21368672593. The next prime is 21368672653. The reversal of 21368672640 is 4627686312.

21368672640 is a `hidden beast` number, since 21 + 368 + 6 + 7 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834102 + ... + 859338.

Almost surely, 2^21368672640 is an apocalyptic number.

21368672640 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 21368672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44020119600).

21368672640 is an abundant number, since it is smaller than the sum of its proper divisors (66671566560).

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

21368672640 is a wasteful number, since it uses less digits than its factorization.

21368672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25279 (or 25254 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 21368672640 in words is "twenty-one billion, three hundred sixty-eight million, six hundred seventy-two thousand, six hundred forty".