27067093632 has 96 divisors (see below), whose sum is σ = 78060333780. Its totient is φ = 9002446848.

The previous prime is 27067093631. The next prime is 27067093633. The reversal of 27067093632 is 23639076072.

27067093632 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 7 + 0 + 9 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (27067093631) and next prime (27067093633).

It can be written as a sum of positive squares in 2 ways, for example, as 26642074176 + 425019456 = 163224^2 + 20616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27067093631) 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 11 ways as a sum of consecutive naturals, for example, 500758 + ... + 552170.

Almost surely, 2^27067093632 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 27067093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39030166890).

27067093632 is an abundant number, since it is smaller than the sum of its proper divisors (50993240148).

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

27067093632 is a wasteful number, since it uses less digits than its factorization.

27067093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51890 (or 51875 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 27067093632 in words is "twenty-seven billion, sixty-seven million, ninety-three thousand, six hundred thirty-two".