27677197069704 has 1280 divisors, whose sum is σ = 101486222745600. Its totient is φ = 6871557639168.

The previous prime is 27677197069673. The next prime is 27677197069721. The reversal of 27677197069704 is 40796079177672.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 75414705729 + ... + 75414706095.

It is an arithmetic number, because the mean of its divisors is an integer number (79286111520).

Almost surely, 2^{27677197069704} is an apocalyptic number.

27677197069704 is a gapful number since it is divisible by the number (24) 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 27677197069704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50743111372800).

27677197069704 is an abundant number, since it is smaller than the sum of its proper divisors (73809025675896).

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

27677197069704 is a wasteful number, since it uses less digits than its factorization.

27677197069704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 392073696, while the sum is 72.

The spelling of 27677197069704 in words is "twenty-seven trillion, six hundred seventy-seven billion, one hundred ninety-seven million, sixty-nine thousand, seven hundred four".