27400750461 has 72 divisors (see below), whose sum is σ = 46501976664. Its totient is φ = 15501507840.

The previous prime is 27400750453. The next prime is 27400750463. The reversal of 27400750461 is 16405700472.

It can be written as a sum of positive squares in 4 ways, for example, as 3932042436 + 23468708025 = 62706^2 + 153195^2 .

It is not a de Polignac number, because 27400750461 - 2³ = 27400750453 is a prime.

It is a super-2 number, since 2×27400750461² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27400750463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25824871 + ... + 25825931.

It is an arithmetic number, because the mean of its divisors is an integer number (645860787).

Almost surely, 2^27400750461 is an apocalyptic number.

27400750461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27400750461 is a deficient number, since it is larger than the sum of its proper divisors (19101226203).

27400750461 is a wasteful number, since it uses less digits than its factorization.

27400750461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 27400750461 in words is "twenty-seven billion, four hundred million, seven hundred fifty thousand, four hundred sixty-one".