22476579840 has 880 divisors, whose sum is σ = 94874028480. Its totient is φ = 5016453120.

The previous prime is 22476579809. The next prime is 22476579857. The reversal of 22476579840 is 4897567422.

22476579840 is a `hidden beast` number, since 2 + 24 + 7 + 6 + 579 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59304771 + ... + 59305149.

It is an arithmetic number, because the mean of its divisors is an integer number (107811396).

Almost surely, 2^22476579840 is an apocalyptic number.

22476579840 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 22476579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437014240).

22476579840 is an abundant number, since it is smaller than the sum of its proper divisors (72397448640).

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

22476579840 is a wasteful number, since it uses less digits than its factorization.

22476579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 22476579840 in words is "twenty-two billion, four hundred seventy-six million, five hundred seventy-nine thousand, eight hundred forty".