27352761696 has 240 divisors, whose sum is σ = 86829019200. Its totient is φ = 8397084672.

The previous prime is 27352761671. The next prime is 27352761719. The reversal of 27352761696 is 69616725372.

27352761696 is a `hidden beast` number, since 27 + 3 + 527 + 6 + 1 + 6 + 96 = 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 39 ways as a sum of consecutive naturals, for example, 24226860 + ... + 24227988.

It is an arithmetic number, because the mean of its divisors is an integer number (361787580).

Almost surely, 2^27352761696 is an apocalyptic number.

27352761696 is a gapful number since it is divisible by the number (26) 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 27352761696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43414509600).

27352761696 is an abundant number, since it is smaller than the sum of its proper divisors (59476257504).

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

27352761696 is a wasteful number, since it uses less digits than its factorization.

27352761696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1866 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 27352761696 in words is "twenty-seven billion, three hundred fifty-two million, seven hundred sixty-one thousand, six hundred ninety-six".