22829847040 has 640 divisors, whose sum is σ = 75235184640. Its totient is φ = 6414336000.

The previous prime is 22829847037. The next prime is 22829847071. The reversal of 22829847040 is 4074892822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151190965 + ... + 151191115.

It is an arithmetic number, because the mean of its divisors is an integer number (117554976).

Almost surely, 2^22829847040 is an apocalyptic number.

22829847040 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 22829847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37617592320).

22829847040 is an abundant number, since it is smaller than the sum of its proper divisors (52405337600).

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

22829847040 is a wasteful number, since it uses less digits than its factorization.

22829847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 22829847040 in words is "twenty-two billion, eight hundred twenty-nine million, eight hundred forty-seven thousand, forty".