22610681640 has 192 divisors, whose sum is σ = 76233830400. Its totient is φ = 5807692800.

The previous prime is 22610681627. The next prime is 22610681657. The reversal of 22610681640 is 4618601622.

22610681640 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 0 + 6 + 8 + 1 + 640 = 666.

It is a super-2 number, since 2×22610681640² (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 junction number, because it is equal to n+sod(n) for n = 22610681595 and 22610681604.

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, 1156345 + ... + 1175735.

It is an arithmetic number, because the mean of its divisors is an integer number (397051200).

Almost surely, 2^22610681640 is an apocalyptic number.

22610681640 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 22610681640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38116915200).

22610681640 is an abundant number, since it is smaller than the sum of its proper divisors (53623148760).

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

22610681640 is a wasteful number, since it uses less digits than its factorization.

22610681640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19528 (or 19521 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22610681640 in words is "twenty-two billion, six hundred ten million, six hundred eighty-one thousand, six hundred forty".