27308140032 has 320 divisors, whose sum is σ = 80200581120. Its totient is φ = 8226054144.

The previous prime is 27308140001. The next prime is 27308140063. The reversal of 27308140032 is 23004180372.

It is an interprime number because it is at equal distance from previous prime (27308140001) and next prime (27308140063).

It is a super-2 number, since 2×27308140032² (a number of 22 digits) contains 22 as substring.

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, 58980633 + ... + 58981095.

It is an arithmetic number, because the mean of its divisors is an integer number (250626816).

Almost surely, 2^27308140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27308140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40100290560).

27308140032 is an abundant number, since it is smaller than the sum of its proper divisors (52892441088).

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

27308140032 is a wasteful number, since it uses less digits than its factorization.

27308140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 27308140032 in words is "twenty-seven billion, three hundred eight million, one hundred forty thousand, thirty-two".