22607311680 has 224 divisors, whose sum is σ = 80064864000. Its totient is φ = 6005090304.

The previous prime is 22607311679. The next prime is 22607311691. The reversal of 22607311680 is 8611370622.

22607311680 is a `hidden beast` number, since 2 + 2 + 607 + 31 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×22607311680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267346 + ... + 2277294.

Almost surely, 2^22607311680 is an apocalyptic number.

22607311680 is a gapful number since it is divisible by the number (20) 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 22607311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40032432000).

22607311680 is an abundant number, since it is smaller than the sum of its proper divisors (57457552320).

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

22607311680 is a wasteful number, since it uses less digits than its factorization.

22607311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10238 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22607311680 in words is "twenty-two billion, six hundred seven million, three hundred eleven thousand, six hundred eighty".