27736079616 has 720 divisors, whose sum is σ = 101501769600. Its totient is φ = 7357464576.

The previous prime is 27736079593. The next prime is 27736079633. The reversal of 27736079616 is 61697063772.

27736079616 is a `hidden beast` number, since 27 + 7 + 3 + 607 + 9 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×27736079616² (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 245451976 + ... + 245452088.

It is an arithmetic number, because the mean of its divisors is an integer number (140974680).

Almost surely, 2^27736079616 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 27736079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50750884800).

27736079616 is an abundant number, since it is smaller than the sum of its proper divisors (73765689984).

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

27736079616 is a wasteful number, since it uses less digits than its factorization.

27736079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 27736079616 in words is "twenty-seven billion, seven hundred thirty-six million, seventy-nine thousand, six hundred sixteen".