22786864464 has 640 divisors, whose sum is σ = 83514654720. Its totient is φ = 5175705600.

The previous prime is 22786864439. The next prime is 22786864469. The reversal of 22786864464 is 46446868722.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22786864469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43736524 + ... + 43737044.

It is an arithmetic number, because the mean of its divisors is an integer number (130491648).

Almost surely, 2^22786864464 is an apocalyptic number.

22786864464 is a gapful number since it is divisible by the number (24) 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 22786864464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41757327360).

22786864464 is an abundant number, since it is smaller than the sum of its proper divisors (60727790256).

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

22786864464 is a wasteful number, since it uses less digits than its factorization.

22786864464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 57.

The spelling of 22786864464 in words is "twenty-two billion, seven hundred eighty-six million, eight hundred sixty-four thousand, four hundred sixty-four".