22671709632 has 504 divisors, whose sum is σ = 79357045248. Its totient is φ = 6128179200.

The previous prime is 22671709583. The next prime is 22671709637. The reversal of 22671709632 is 23690717622.

22671709632 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 1 + 7 + 0 + 9 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22671709637) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 33193963 + ... + 33194645.

Almost surely, 2^22671709632 is an apocalyptic number.

22671709632 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 22671709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39678522624).

22671709632 is an abundant number, since it is smaller than the sum of its proper divisors (56685335616).

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

22671709632 is a wasteful number, since it uses less digits than its factorization.

22671709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 22671709632 in words is "twenty-two billion, six hundred seventy-one million, seven hundred nine thousand, six hundred thirty-two".