27896496768 has 512 divisors, whose sum is σ = 99995904000. Its totient is φ = 7478894592.

The previous prime is 27896496751. The next prime is 27896496769. The reversal of 27896496768 is 86769469872.

27896496768 is a `hidden beast` number, since 2 + 78 + 9 + 6 + 496 + 7 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27896496696 and 27896496705.

It is not an unprimeable number, because it can be changed into a prime (27896496769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62971555 + ... + 62971997.

It is an arithmetic number, because the mean of its divisors is an integer number (195304500).

Almost surely, 2^27896496768 is an apocalyptic number.

27896496768 is a gapful number since it is divisible by the number (28) 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 27896496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49997952000).

27896496768 is an abundant number, since it is smaller than the sum of its proper divisors (72099407232).

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

27896496768 is a wasteful number, since it uses less digits than its factorization.

27896496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 27896496768 in words is "twenty-seven billion, eight hundred ninety-six million, four hundred ninety-six thousand, seven hundred sixty-eight".