27680380761 has 32 divisors (see below), whose sum is σ = 40540953600. Its totient is φ = 16660105280.

The previous prime is 27680380753. The next prime is 27680380769. The reversal of 27680380761 is 16708308672.

It is an interprime number because it is at equal distance from previous prime (27680380753) and next prime (27680380769).

It is a cyclic number.

It is not a de Polignac number, because 27680380761 - 2³ = 27680380753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27680380761.

It is not an unprimeable number, because it can be changed into a prime (27680380769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9416830 + ... + 9419768.

It is an arithmetic number, because the mean of its divisors is an integer number (1266904800).

Almost surely, 2^27680380761 is an apocalyptic number.

It is an amenable number.

27680380761 is a deficient number, since it is larger than the sum of its proper divisors (12860572839).

27680380761 is a wasteful number, since it uses less digits than its factorization.

27680380761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829.

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 27680380761 in words is "twenty-seven billion, six hundred eighty million, three hundred eighty thousand, seven hundred sixty-one".