22607256672 has 432 divisors, whose sum is σ = 86984745120. Its totient is φ = 5419560960.

The previous prime is 22607256671. The next prime is 22607256673. The reversal of 22607256672 is 27665270622.

22607256672 is a `hidden beast` number, since 22 + 60 + 7 + 2 + 566 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22607256671) and next prime (22607256673).

It is a super-2 number, since 2×22607256672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22607256671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3167604 + ... + 3174732.

Almost surely, 2^22607256672 is an apocalyptic number.

22607256672 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 22607256672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43492372560).

22607256672 is an abundant number, since it is smaller than the sum of its proper divisors (64377488448).

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

22607256672 is a wasteful number, since it uses less digits than its factorization.

22607256672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 22607256672 in words is "twenty-two billion, six hundred seven million, two hundred fifty-six thousand, six hundred seventy-two".