21749829696 has 336 divisors, whose sum is σ = 74282848640. Its totient is φ = 6180986880.

The previous prime is 21749829671. The next prime is 21749829709. The reversal of 21749829696 is 69692894712.

21749829696 is a `hidden beast` number, since 2 + 174 + 98 + 296 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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, 26235810 + ... + 26236638.

Almost surely, 2^21749829696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21749829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37141424320).

21749829696 is an abundant number, since it is smaller than the sum of its proper divisors (52533018944).

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

21749829696 is an equidigital number, since it uses as much as digits as its factorization.

21749829696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1082 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 21749829696 in words is "twenty-one billion, seven hundred forty-nine million, eight hundred twenty-nine thousand, six hundred ninety-six".