21732686976 has 768 divisors, whose sum is σ = 81226696320. Its totient is φ = 5057740800.

The previous prime is 21732686957. The next prime is 21732686999. The reversal of 21732686976 is 67968623712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110318110 + ... + 110318306.

Almost surely, 2^21732686976 is an apocalyptic number.

21732686976 is a gapful number since it is divisible by the number (26) 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 21732686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40613348160).

21732686976 is an abundant number, since it is smaller than the sum of its proper divisors (59494009344).

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

21732686976 is a wasteful number, since it uses less digits than its factorization.

21732686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The spelling of 21732686976 in words is "twenty-one billion, seven hundred thirty-two million, six hundred eighty-six thousand, nine hundred seventy-six".