27979634688 has 384 divisors, whose sum is σ = 86895244800. Its totient is φ = 7941390336.

The previous prime is 27979634663. The next prime is 27979634699. The reversal of 27979634688 is 88643697972.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45643470 + ... + 45644082.

It is an arithmetic number, because the mean of its divisors is an integer number (226289700).

Almost surely, 2^27979634688 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 27979634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43447622400).

27979634688 is an abundant number, since it is smaller than the sum of its proper divisors (58915610112).

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

27979634688 is a wasteful number, since it uses less digits than its factorization.

27979634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 677 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 27979634688 in words is "twenty-seven billion, nine hundred seventy-nine million, six hundred thirty-four thousand, six hundred eighty-eight".