27742561600 has 84 divisors (see below), whose sum is σ = 73515175804. Its totient is φ = 10243399680.

The previous prime is 27742561597. The next prime is 27742561607. The reversal of 27742561600 is 616524772.

It can be written as a sum of positive squares in 6 ways, for example, as 5615404096 + 22127157504 = 74936^2 + 148752^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27742561607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646089 + ... + 687688.

Almost surely, 2^27742561600 is an apocalyptic number.

27742561600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27742561600 is an abundant number, since it is smaller than the sum of its proper divisors (45772614204).

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

27742561600 is a wasteful number, since it uses less digits than its factorization.

27742561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333812 (or 1333797 counting only the distinct ones).

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

The spelling of 27742561600 in words is "twenty-seven billion, seven hundred forty-two million, five hundred sixty-one thousand, six hundred".