27376671277340 has 384 divisors, whose sum is σ = 73481789122560. Its totient is φ = 8321144832000.

The previous prime is 27376671277337. The next prime is 27376671277349. The reversal of 27376671277340 is 4377217667372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27376671277349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7974560264 + ... + 7974563696.

It is an arithmetic number, because the mean of its divisors is an integer number (191358825840).

Almost surely, 2^{27376671277340} is an apocalyptic number.

27376671277340 is a gapful number since it is divisible by the number (20) 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 27376671277340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36740894561280).

27376671277340 is an abundant number, since it is smaller than the sum of its proper divisors (46105117845220).

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

27376671277340 is a wasteful number, since it uses less digits than its factorization.

27376671277340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 87127488, while the sum is 62.

The spelling of 27376671277340 in words is "twenty-seven trillion, three hundred seventy-six billion, six hundred seventy-one million, two hundred seventy-seven thousand, three hundred forty".