27905735676 has 96 divisors (see below), whose sum is σ = 80888855040. Its totient is φ = 7290941184.

The previous prime is 27905735647. The next prime is 27905735681. The reversal of 27905735676 is 67653750972.

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, 2571 + ... + 236258.

It is an arithmetic number, because the mean of its divisors is an integer number (842592240).

Almost surely, 2^27905735676 is an apocalyptic number.

27905735676 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 27905735676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40444427520).

27905735676 is an abundant number, since it is smaller than the sum of its proper divisors (52983119364).

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

27905735676 is a wasteful number, since it uses less digits than its factorization.

27905735676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238963 (or 238961 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 57.

The spelling of 27905735676 in words is "twenty-seven billion, nine hundred five million, seven hundred thirty-five thousand, six hundred seventy-six".