27959975064 has 192 divisors, whose sum is σ = 90826444800. Its totient is φ = 7946164800.

The previous prime is 27959975039. The next prime is 27959975119. The reversal of 27959975064 is 46057995972.

27959975064 is a `hidden beast` number, since 2 + 79 + 59 + 9 + 7 + 506 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 27959974992 and 27959975010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014629 + ... + 2028459.

It is an arithmetic number, because the mean of its divisors is an integer number (473054400).

Almost surely, 2^27959975064 is an apocalyptic number.

27959975064 is a gapful number since it is divisible by the number (24) 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 27959975064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45413222400).

27959975064 is an abundant number, since it is smaller than the sum of its proper divisors (62866469736).

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

27959975064 is a wasteful number, since it uses less digits than its factorization.

27959975064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14051 (or 14034 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 27959975064 in words is "twenty-seven billion, nine hundred fifty-nine million, nine hundred seventy-five thousand, sixty-four".