27949486761 has 81 divisors (see below), whose sum is σ = 49683131901. Its totient is φ = 15094438128.

The previous prime is 27949486717. The next prime is 27949486777. The reversal of 27949486761 is 16768494972.

The square root of 27949486761 is 167181.

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

27949486761 is a `hidden beast` number, since 2 + 7 + 9 + 494 + 86 + 7 + 61 = 666.

It is not a de Polignac number, because 27949486761 - 2¹³ = 27949478569 is a prime.

It is a super-2 number, since 2×27949486761² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (36578304) is a multiple of the sum of its prime divisors (448).

It is not an unprimeable number, because it can be changed into a prime (27949486711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66705010 + ... + 66705428.

Almost surely, 2^27949486761 is an apocalyptic number.

27949486761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27949486761 is the 167181-st square number.

27949486761 is the 83591-st centered octagonal number.

It is an amenable number.

27949486761 is a deficient number, since it is larger than the sum of its proper divisors (21733645140).

27949486761 is an equidigital number, since it uses as much as digits as its factorization.

27949486761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 27949486761 in words is "twenty-seven billion, nine hundred forty-nine million, four hundred eighty-six thousand, seven hundred sixty-one".