27639607380 has 288 divisors, whose sum is σ = 102483118080. Its totient is φ = 5493438720.

The previous prime is 27639607349. The next prime is 27639607397. The reversal of 27639607380 is 8370693672.

It is a super-2 number, since 2×27639607380² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 725241 + ... + 762399.

It is an arithmetic number, because the mean of its divisors is an integer number (355844160).

Almost surely, 2^27639607380 is an apocalyptic number.

27639607380 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 27639607380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51241559040).

27639607380 is an abundant number, since it is smaller than the sum of its proper divisors (74843510700).

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

27639607380 is a wasteful number, since it uses less digits than its factorization.

27639607380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37219 (or 37210 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 27639607380 in words is "twenty-seven billion, six hundred thirty-nine million, six hundred seven thousand, three hundred eighty".