27069935973696 has 672 divisors, whose sum is σ = 101528830061568. Its totient is φ = 6946414018560.

The previous prime is 27069935973683. The next prime is 27069935973713. The reversal of 27069935973696 is 69637953996072.

27069935973696 is a `hidden beast` number, since 27 + 0 + 6 + 99 + 359 + 73 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99256656 + ... + 99529008.

It is an arithmetic number, because the mean of its divisors is an integer number (151084568544).

Almost surely, 2^{27069935973696} 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 27069935973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50764415030784).

27069935973696 is an abundant number, since it is smaller than the sum of its proper divisors (74458894087872).

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

27069935973696 is a wasteful number, since it uses less digits than its factorization.

27069935973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272481 (or 272459 counting only the distinct ones).

The product of its (nonzero) digits is 6249746160, while the sum is 81.

The spelling of 27069935973696 in words is "twenty-seven trillion, sixty-nine billion, nine hundred thirty-five million, nine hundred seventy-three thousand, six hundred ninety-six".