27736821376 has 256 divisors, whose sum is σ = 68211072000. Its totient is φ = 11070259200.

The previous prime is 27736821373. The next prime is 27736821383. The reversal of 27736821376 is 67312863772.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27736821373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32289235 + ... + 32290093.

It is an arithmetic number, because the mean of its divisors is an integer number (266449500).

Almost surely, 2^27736821376 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 27736821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34105536000).

27736821376 is an abundant number, since it is smaller than the sum of its proper divisors (40474250624).

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

27736821376 is a wasteful number, since it uses less digits than its factorization.

27736821376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 979 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 52.

The spelling of 27736821376 in words is "twenty-seven billion, seven hundred thirty-six million, eight hundred twenty-one thousand, three hundred seventy-six".