27715132368 has 900 divisors, whose sum is σ = 109775625696. Its totient is φ = 6556723200.

The previous prime is 27715132339. The next prime is 27715132427. The reversal of 27715132368 is 86323151772.

27715132368 is a `hidden beast` number, since 2 + 7 + 71 + 513 + 2 + 3 + 68 = 666.

It is a super-2 number, since 2×27715132368² (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 179 ways as a sum of consecutive naturals, for example, 894036513 + ... + 894036543.

Almost surely, 2^27715132368 is an apocalyptic number.

27715132368 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 27715132368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54887812848).

27715132368 is an abundant number, since it is smaller than the sum of its proper divisors (82060493328).

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

27715132368 is a wasteful number, since it uses less digits than its factorization.

27715132368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 27715132368 in words is "twenty-seven billion, seven hundred fifteen million, one hundred thirty-two thousand, three hundred sixty-eight".