27313179264 has 640 divisors, whose sum is σ = 97286555520. Its totient is φ = 7445053440.

The previous prime is 27313179253. The next prime is 27313179287. The reversal of 27313179264 is 46297131372.

27313179264 is a `hidden beast` number, since 2 + 7 + 313 + 1 + 79 + 264 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199366204 + ... + 199366340.

It is an arithmetic number, because the mean of its divisors is an integer number (152010243).

Almost surely, 2^27313179264 is an apocalyptic number.

27313179264 is a gapful number since it is divisible by the number (24) 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 27313179264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48643277760).

27313179264 is an abundant number, since it is smaller than the sum of its proper divisors (69973376256).

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

27313179264 is a wasteful number, since it uses less digits than its factorization.

27313179264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 27313179264 in words is "twenty-seven billion, three hundred thirteen million, one hundred seventy-nine thousand, two hundred sixty-four".