27640039002740 has 24 divisors (see below), whose sum is σ = 61458439665672. Its totient is φ = 10405661742080.

The previous prime is 27640039002679. The next prime is 27640039002787. The reversal of 27640039002740 is 4720093004672.

It can be written as a sum of positive squares in 4 ways, for example, as 370817666704 + 27269221336036 = 608948^2 + 5221994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27640039002691 and 27640039002700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40647115841 + ... + 40647116520.

It is an arithmetic number, because the mean of its divisors is an integer number (2560768319403).

Almost surely, 2^{27640039002740} is an apocalyptic number.

27640039002740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27640039002740 is an abundant number, since it is smaller than the sum of its proper divisors (33818400662932).

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

27640039002740 is a wasteful number, since it uses less digits than its factorization.

27640039002740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81294232387 (or 81294232385 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 27640039002740 in words is "twenty-seven trillion, six hundred forty billion, thirty-nine million, two thousand, seven hundred forty".