22829264640 has 1728 divisors, whose sum is σ = 109219259520. Its totient is φ = 4459069440.

The previous prime is 22829264597. The next prime is 22829264641. The reversal of 22829264640 is 4646292822.

22829264640 is a `hidden beast` number, since 22 + 82 + 92 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22829264641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374250210 + ... + 374250270.

It is an arithmetic number, because the mean of its divisors is an integer number (63205590).

Almost surely, 2^22829264640 is an apocalyptic number.

22829264640 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 22829264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609629760).

22829264640 is an abundant number, since it is smaller than the sum of its proper divisors (86389994880).

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

22829264640 is a wasteful number, since it uses less digits than its factorization.

22829264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 22829264640 in words is "twenty-two billion, eight hundred twenty-nine million, two hundred sixty-four thousand, six hundred forty".