27649038400 has 63 divisors (see below), whose sum is σ = 68050285159. Its totient is φ = 11056954880.

The previous prime is 27649038383. The next prime is 27649038407. The reversal of 27649038400 is 483094672.

The square root of 27649038400 is 166280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 952092736 + 26696945664 = 30856^2 + 163392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27649038407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6649122 + ... + 6653278.

Almost surely, 2^27649038400 is an apocalyptic number.

27649038400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27649038400 is the 166280-th square number.

It is an amenable number.

27649038400 is an abundant number, since it is smaller than the sum of its proper divisors (40401246759).

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

27649038400 is an frugal number, since it uses more digits than its factorization.

27649038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 27649038400 in words is "twenty-seven billion, six hundred forty-nine million, thirty-eight thousand, four hundred".