27067694976 has 192 divisors, whose sum is σ = 89240860800. Its totient is φ = 7714206720.

The previous prime is 27067694971. The next prime is 27067694977. The reversal of 27067694976 is 67949676072.

27067694976 is a `hidden beast` number, since 2 + 70 + 6 + 76 + 9 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×27067694976² (a number of 22 digits) contains 22 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 (27067694971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3374811 + ... + 3382821.

It is an arithmetic number, because the mean of its divisors is an integer number (464796150).

Almost surely, 2^27067694976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27067694976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44620430400).

27067694976 is an abundant number, since it is smaller than the sum of its proper divisors (62173165824).

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

27067694976 is a wasteful number, since it uses less digits than its factorization.

27067694976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 27067694976 in words is "twenty-seven billion, sixty-seven million, six hundred ninety-four thousand, nine hundred seventy-six".