22672834679040 has 2304 divisors, whose sum is σ = 94282762420224. Its totient is φ = 4516134912000.

The previous prime is 22672834679039. The next prime is 22672834679107. The reversal of 22672834679040 is 4097643827622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 135765477037 + ... + 135765477203.

It is an arithmetic number, because the mean of its divisors is an integer number (40921337856).

Almost surely, 2^{22672834679040} is an apocalyptic number.

22672834679040 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 22672834679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47141381210112).

22672834679040 is an abundant number, since it is smaller than the sum of its proper divisors (71609927741184).

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

22672834679040 is a wasteful number, since it uses less digits than its factorization.

22672834679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 22672834679040 in words is "twenty-two trillion, six hundred seventy-two billion, eight hundred thirty-four million, six hundred seventy-nine thousand, forty".