27368248320 has 1584 divisors, whose sum is σ = 125811698688. Its totient is φ = 5449973760.

The previous prime is 27368248283. The next prime is 27368248339. The reversal of 27368248320 is 2384286372.

27368248320 is a `hidden beast` number, since 2 + 73 + 6 + 82 + 483 + 20 = 666.

It is a super-2 number, since 2×27368248320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 882846705 + ... + 882846735.

Almost surely, 2^27368248320 is an apocalyptic number.

27368248320 is a gapful number since it is divisible by the number (20) 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 27368248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62905849344).

27368248320 is an abundant number, since it is smaller than the sum of its proper divisors (98443450368).

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

27368248320 is a wasteful number, since it uses less digits than its factorization.

27368248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27368248320 in words is "twenty-seven billion, three hundred sixty-eight million, two hundred forty-eight thousand, three hundred twenty".