27316201742368 has 576 divisors, whose sum is σ = 69773568044544. Its totient is φ = 10300450406400.

The previous prime is 27316201742363. The next prime is 27316201742399. The reversal of 27316201742368 is 86324710261372.

It is not an unprimeable number, because it can be changed into a prime (27316201742363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47341770496 + ... + 47341771072.

It is an arithmetic number, because the mean of its divisors is an integer number (121134666744).

Almost surely, 2^{27316201742368} is an apocalyptic number.

27316201742368 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 27316201742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34886784022272).

27316201742368 is an abundant number, since it is smaller than the sum of its proper divisors (42457366302176).

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

27316201742368 is a wasteful number, since it uses less digits than its factorization.

27316201742368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 27316201742368 in words is "twenty-seven trillion, three hundred sixteen billion, two hundred one million, seven hundred forty-two thousand, three hundred sixty-eight".