27674601696 has 768 divisors, whose sum is σ = 104432025600. Its totient is φ = 6946891776.

The previous prime is 27674601683. The next prime is 27674601701. The reversal of 27674601696 is 69610647672.

27674601696 is a `hidden beast` number, since 27 + 6 + 7 + 4 + 601 + 6 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97789971 + ... + 97790253.

It is an arithmetic number, because the mean of its divisors is an integer number (135979200).

Almost surely, 2^27674601696 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 27674601696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52216012800).

27674601696 is an abundant number, since it is smaller than the sum of its proper divisors (76757423904).

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

27674601696 is a wasteful number, since it uses less digits than its factorization.

27674601696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 27674601696 in words is "twenty-seven billion, six hundred seventy-four million, six hundred one thousand, six hundred ninety-six".