27613240320 has 176 divisors, whose sum is σ = 89134895520. Its totient is φ = 7295533056.

The previous prime is 27613240289. The next prime is 27613240337. The reversal of 27613240320 is 2304231672.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665994 + ... + 1682486.

It is an arithmetic number, because the mean of its divisors is an integer number (506448270).

Almost surely, 2^27613240320 is an apocalyptic number.

27613240320 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 27613240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44567447760).

27613240320 is an abundant number, since it is smaller than the sum of its proper divisors (61521655200).

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

27613240320 is a wasteful number, since it uses less digits than its factorization.

27613240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16630 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 27613240320 its reverse (2304231672), we get a palindrome (29917471992).

The spelling of 27613240320 in words is "twenty-seven billion, six hundred thirteen million, two hundred forty thousand, three hundred twenty".