22646407680 has 800 divisors, whose sum is σ = 90502207488. Its totient is φ = 5374771200.

The previous prime is 22646407669. The next prime is 22646407747. The reversal of 22646407680 is 8670464622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83565945 + ... + 83566215.

Almost surely, 2^22646407680 is an apocalyptic number.

22646407680 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 22646407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45251103744).

22646407680 is an abundant number, since it is smaller than the sum of its proper divisors (67855799808).

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

22646407680 is a wasteful number, since it uses less digits than its factorization.

22646407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 22646407680 in words is "twenty-two billion, six hundred forty-six million, four hundred seven thousand, six hundred eighty".