27360113634 has 192 divisors, whose sum is σ = 74037473280. Its totient is φ = 7453464480.

The previous prime is 27360113591. The next prime is 27360113699. The reversal of 27360113634 is 43631106372.

27360113634 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 0 + 1 + 13 + 634 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28176769 + ... + 28177739.

It is an arithmetic number, because the mean of its divisors is an integer number (385611840).

Almost surely, 2^27360113634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27360113634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37018736640).

27360113634 is an abundant number, since it is smaller than the sum of its proper divisors (46677359646).

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

27360113634 is a wasteful number, since it uses less digits than its factorization.

27360113634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 27360113634 in words is "twenty-seven billion, three hundred sixty million, one hundred thirteen thousand, six hundred thirty-four".