27349020468 has 240 divisors, whose sum is σ = 90364627584. Its totient is φ = 7005864960.

The previous prime is 27349020407. The next prime is 27349020547. The reversal of 27349020468 is 86402094372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1813696 + ... + 1828712.

Almost surely, 2^27349020468 is an apocalyptic number.

27349020468 is a gapful number since it is divisible by the number (28) 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 27349020468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45182313792).

27349020468 is an abundant number, since it is smaller than the sum of its proper divisors (63015607116).

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

27349020468 is a wasteful number, since it uses less digits than its factorization.

27349020468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15124 (or 15113 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27349020468 in words is "twenty-seven billion, three hundred forty-nine million, twenty thousand, four hundred sixty-eight".