27180634968 has 64 divisors (see below), whose sum is σ = 75585552000. Its totient is φ = 9050157216.

The previous prime is 27180634967. The next prime is 27180634991. The reversal of 27180634968 is 86943608172.

27180634968 is a `hidden beast` number, since 2 + 71 + 80 + 6 + 3 + 496 + 8 = 666.

It is a super-2 number, since 2×27180634968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27180634967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126543 + ... + 265281.

It is an arithmetic number, because the mean of its divisors is an integer number (1181024250).

Almost surely, 2^27180634968 is an apocalyptic number.

It is an amenable number.

27180634968 is an abundant number, since it is smaller than the sum of its proper divisors (48404917032).

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

27180634968 is a wasteful number, since it uses less digits than its factorization.

27180634968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139661 (or 139651 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27180634968 in words is "twenty-seven billion, one hundred eighty million, six hundred thirty-four thousand, nine hundred sixty-eight".