22347324679680 has 6400 divisors, whose sum is σ = 116524253970432. Its totient is φ = 3941498880000.

The previous prime is 22347324679651. The next prime is 22347324679681. The reversal of 22347324679680 is 8697642374322.

22347324679680 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 7 + 3 + 2 + 467 + 96 + 80 = 666.

It is a super-3 number, since 3×22347324679680³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22347324679681) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 147995527605 + ... + 147995527755.

Almost surely, 2^{22347324679680} is an apocalyptic number.

22347324679680 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 22347324679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262126985216).

22347324679680 is an abundant number, since it is smaller than the sum of its proper divisors (94176929290752).

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

22347324679680 is a wasteful number, since it uses less digits than its factorization.

22347324679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 22347324679680 in words is "twenty-two trillion, three hundred forty-seven billion, three hundred twenty-four million, six hundred seventy-nine thousand, six hundred eighty".