21964273760 has 384 divisors, whose sum is σ = 63646248960. Its totient is φ = 7053926400.

The previous prime is 21964273759. The next prime is 21964273783. The reversal of 21964273760 is 6737246912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122705351 + ... + 122705529.

It is an arithmetic number, because the mean of its divisors is an integer number (165745440).

Almost surely, 2^21964273760 is an apocalyptic number.

21964273760 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 21964273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31823124480).

21964273760 is an abundant number, since it is smaller than the sum of its proper divisors (41681975200).

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

21964273760 is a wasteful number, since it uses less digits than its factorization.

21964273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 21964273760 in words is "twenty-one billion, nine hundred sixty-four million, two hundred seventy-three thousand, seven hundred sixty".