27961635936 has 192 divisors, whose sum is σ = 82447497216. Its totient is φ = 8239104000.

The previous prime is 27961635917. The next prime is 27961635941. The reversal of 27961635936 is 63953616972.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3749011 + ... + 3756461.

It is an arithmetic number, because the mean of its divisors is an integer number (429414048).

Almost surely, 2^27961635936 is an apocalyptic number.

27961635936 is a gapful number since it is divisible by the number (26) 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 27961635936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41223748608).

27961635936 is an abundant number, since it is smaller than the sum of its proper divisors (54485861280).

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

27961635936 is a wasteful number, since it uses less digits than its factorization.

27961635936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7597 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 57.

The spelling of 27961635936 in words is "twenty-seven billion, nine hundred sixty-one million, six hundred thirty-five thousand, nine hundred thirty-six".