22264263840 has 768 divisors, whose sum is σ = 91987660800. Its totient is φ = 4395368448.

The previous prime is 22264263817. The next prime is 22264263883. The reversal of 22264263840 is 4836246222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115358784 + ... + 115358976.

It is an arithmetic number, because the mean of its divisors is an integer number (119775600).

Almost surely, 2^22264263840 is an apocalyptic number.

22264263840 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 22264263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45993830400).

22264263840 is an abundant number, since it is smaller than the sum of its proper divisors (69723396960).

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

22264263840 is a wasteful number, since it uses less digits than its factorization.

22264263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 22264263840 in words is "twenty-two billion, two hundred sixty-four million, two hundred sixty-three thousand, eight hundred forty".