27356645340 has 144 divisors (see below), whose sum is σ = 83932456608. Its totient is φ = 7212022272.

The previous prime is 27356645339. The next prime is 27356645363. The reversal of 27356645340 is 4354665372.

27356645340 is a `hidden beast` number, since 2 + 7 + 3 + 56 + 64 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5777614 + ... + 5782346.

It is an arithmetic number, because the mean of its divisors is an integer number (582864282).

Almost surely, 2^27356645340 is an apocalyptic number.

27356645340 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 27356645340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41966228304).

27356645340 is an abundant number, since it is smaller than the sum of its proper divisors (56575811268).

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

27356645340 is a wasteful number, since it uses less digits than its factorization.

27356645340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 27356645340 in words is "twenty-seven billion, three hundred fifty-six million, six hundred forty-five thousand, three hundred forty".