27760660704 has 648 divisors, whose sum is σ = 100129433040. Its totient is φ = 7259535360.

The previous prime is 27760660687. The next prime is 27760660717. The reversal of 27760660704 is 40706606772.

It is a self number, because there is not a number n which added to its sum of digits gives 27760660704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 311917492 + ... + 311917580.

It is an arithmetic number, because the mean of its divisors is an integer number (154520730).

Almost surely, 2^27760660704 is an apocalyptic number.

27760660704 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 27760660704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50064716520).

27760660704 is an abundant number, since it is smaller than the sum of its proper divisors (72368772336).

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

27760660704 is a wasteful number, since it uses less digits than its factorization.

27760660704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 27760660704 in words is "twenty-seven billion, seven hundred sixty million, six hundred sixty thousand, seven hundred four".