22964481720 has 384 divisors, whose sum is σ = 80632843200. Its totient is φ = 5871108096.

The previous prime is 22964481713. The next prime is 22964481731. The reversal of 22964481720 is 2718446922.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72443002 + ... + 72443318.

Almost surely, 2^22964481720 is an apocalyptic number.

22964481720 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 22964481720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40316421600).

22964481720 is an abundant number, since it is smaller than the sum of its proper divisors (57668361480).

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

22964481720 is a wasteful number, since it uses less digits than its factorization.

22964481720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

It can be divided in two parts, 229644 and 81720, that added together give a square (311364 = 558²).

The spelling of 22964481720 in words is "twenty-two billion, nine hundred sixty-four million, four hundred eighty-one thousand, seven hundred twenty".