27331900352064 has 2835 divisors, whose sum is σ = 111000771332913. Its totient is φ = 6624911462400.

The previous prime is 27331900352011. The next prime is 27331900352083. The reversal of 27331900352064 is 46025300913372.

The square root of 27331900352064 is 5227992.

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

27331900352064 is a `hidden beast` number, since 2 + 7 + 3 + 31 + 90 + 0 + 3 + 520 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1317004121664 + 26014896230400 = 1147608^2 + 5100480^2 .

It is a super-3 number, since 3×27331900352064³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 666631715884 + ... + 666631715924.

Almost surely, 2^{27331900352064} is an apocalyptic number.

27331900352064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27331900352064 is the 5227992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27331900352064

27331900352064 is an abundant number, since it is smaller than the sum of its proper divisors (83668870980849).

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

27331900352064 is a wasteful number, since it uses less digits than its factorization.

27331900352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 27331900352064 in words is "twenty-seven trillion, three hundred thirty-one billion, nine hundred million, three hundred fifty-two thousand, sixty-four".