27402498368 has 112 divisors (see below), whose sum is σ = 63939480960. Its totient is φ = 11405961216.

The previous prime is 27402498323. The next prime is 27402498397. The reversal of 27402498368 is 86389420472.

It is a Cunningham number, because it is equal to 165537²-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12248546 + ... + 12250782.

Almost surely, 2^27402498368 is an apocalyptic number.

27402498368 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 27402498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31969740480).

27402498368 is an abundant number, since it is smaller than the sum of its proper divisors (36536982592).

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

27402498368 is a wasteful number, since it uses less digits than its factorization.

27402498368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 27402498368 in words is "twenty-seven billion, four hundred two million, four hundred ninety-eight thousand, three hundred sixty-eight".