27532664640 has 560 divisors, whose sum is σ = 106648209360. Its totient is φ = 6701875200.

The previous prime is 27532664629. The next prime is 27532664669. The reversal of 27532664640 is 4646623572.

It can be written as a sum of positive squares in 8 ways, for example, as 1591052544 + 25941612096 = 39888^2 + 161064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34032556 + ... + 34033364.

It is an arithmetic number, because the mean of its divisors is an integer number (190443231).

Almost surely, 2^27532664640 is an apocalyptic number.

27532664640 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 27532664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53324104680).

27532664640 is an abundant number, since it is smaller than the sum of its proper divisors (79115544720).

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

27532664640 is a wasteful number, since it uses less digits than its factorization.

27532664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 27532664640 in words is "twenty-seven billion, five hundred thirty-two million, six hundred sixty-four thousand, six hundred forty".