21679333632 has 432 divisors, whose sum is σ = 71368140480. Its totient is φ = 6270566400.

The previous prime is 21679333619. The next prime is 21679333667. The reversal of 21679333632 is 23633397612.

21679333632 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 9 + 3 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×21679333632² (a number of 21 digits) contains 22 as substring.

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, 57201219 + ... + 57201597.

Almost surely, 2^21679333632 is an apocalyptic number.

21679333632 is a gapful number since it is divisible by the number (22) 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 21679333632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35684070240).

21679333632 is an abundant number, since it is smaller than the sum of its proper divisors (49688806848).

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

21679333632 is a wasteful number, since it uses less digits than its factorization.

21679333632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The spelling of 21679333632 in words is "twenty-one billion, six hundred seventy-nine million, three hundred thirty-three thousand, six hundred thirty-two".