21741963264 has 576 divisors, whose sum is σ = 77510160000. Its totient is φ = 5852528640.

The previous prime is 21741963203. The next prime is 21741963311. The reversal of 21741963264 is 46236914712.

21741963264 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 1 + 9 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

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, 120121254 + ... + 120121434.

It is an arithmetic number, because the mean of its divisors is an integer number (134566250).

Almost surely, 2^21741963264 is an apocalyptic number.

21741963264 is a gapful number since it is divisible by the number (24) 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 21741963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38755080000).

21741963264 is an abundant number, since it is smaller than the sum of its proper divisors (55768196736).

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

21741963264 is a wasteful number, since it uses less digits than its factorization.

21741963264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 212 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 21741963264 in words is "twenty-one billion, seven hundred forty-one million, nine hundred sixty-three thousand, two hundred sixty-four".