22672742400 has 1440 divisors, whose sum is σ = 106170704640. Its totient is φ = 4644864000.

The previous prime is 22672742347. The next prime is 22672742419. The reversal of 22672742400 is 424727622.

22672742400 is a `hidden beast` number, since 226 + 7 + 2 + 7 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319334365 + ... + 319334435.

It is an arithmetic number, because the mean of its divisors is an integer number (73729656).

Almost surely, 2^22672742400 is an apocalyptic number.

22672742400 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 22672742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53085352320).

22672742400 is an abundant number, since it is smaller than the sum of its proper divisors (83497962240).

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

22672742400 is a wasteful number, since it uses less digits than its factorization.

22672742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 22672742400 in words is "twenty-two billion, six hundred seventy-two million, seven hundred forty-two thousand, four hundred".