27406692823680 has 1536 divisors, whose sum is σ = 104123810119680. Its totient is φ = 6621718118400.

The previous prime is 27406692823661. The next prime is 27406692823687. The reversal of 27406692823680 is 8632829660472.

27406692823680 is a `hidden beast` number, since 2 + 7 + 406 + 6 + 92 + 82 + 3 + 68 + 0 = 666.

It is a super-2 number, since 2×27406692823680² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27406692823687) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 56276576397 + ... + 56276576883.

It is an arithmetic number, because the mean of its divisors is an integer number (67788938880).

Almost surely, 2^{27406692823680} is an apocalyptic number.

27406692823680 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 27406692823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52061905059840).

27406692823680 is an abundant number, since it is smaller than the sum of its proper divisors (76717117296000).

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

27406692823680 is a wasteful number, since it uses less digits than its factorization.

27406692823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 27406692823680 in words is "twenty-seven trillion, four hundred six billion, six hundred ninety-two million, eight hundred twenty-three thousand, six hundred eighty".