27768500320 has 96 divisors (see below), whose sum is σ = 71938692000. Its totient is φ = 10045194240.

The previous prime is 27768500299. The next prime is 27768500351. The reversal of 27768500320 is 2300586772.

It is a super-2 number, since 2×27768500320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 298806 + ... + 380554.

It is an arithmetic number, because the mean of its divisors is an integer number (749361375).

Almost surely, 2^27768500320 is an apocalyptic number.

27768500320 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 27768500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35969346000).

27768500320 is an abundant number, since it is smaller than the sum of its proper divisors (44170191680).

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

27768500320 is a wasteful number, since it uses less digits than its factorization.

27768500320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81968 (or 81960 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 27768500320 in words is "twenty-seven billion, seven hundred sixty-eight million, five hundred thousand, three hundred twenty".