22672903680 has 960 divisors, whose sum is σ = 97029504000. Its totient is φ = 4877107200.

The previous prime is 22672903679. The next prime is 22672903681. The reversal of 22672903680 is 8630927622.

22672903680 is a `hidden beast` number, since 2 + 267 + 29 + 0 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22672903679) and next prime (22672903681).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×22672903680² (a number of 22 digits) contains 22 as substring.

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 (22672903681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 150151605 + ... + 150151755.

It is an arithmetic number, because the mean of its divisors is an integer number (101072400).

Almost surely, 2^22672903680 is an apocalyptic number.

22672903680 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 22672903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48514752000).

22672903680 is an abundant number, since it is smaller than the sum of its proper divisors (74356600320).

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

22672903680 is a wasteful number, since it uses less digits than its factorization.

22672903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22672903680 in words is "twenty-two billion, six hundred seventy-two million, nine hundred three thousand, six hundred eighty".