27161676864 has 441 divisors, whose sum is σ = 94875513957. Its totient is φ = 7689282048.

The previous prime is 27161676821. The next prime is 27161676887. The reversal of 27161676864 is 46867616172.

The square root of 27161676864 is 164808.

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

It can be written as a sum of positive squares in only one way, i.e., 18931558464 + 8230118400 = 137592^2 + 90720^2 .

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 27161676864.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 249189642 + ... + 249189750.

Almost surely, 2^27161676864 is an apocalyptic number.

27161676864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27161676864 is the 164808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27161676864

27161676864 is an abundant number, since it is smaller than the sum of its proper divisors (67713837093).

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

27161676864 is an frugal number, since it uses more digits than its factorization.

27161676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 121 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 27161676864 in words is "twenty-seven billion, one hundred sixty-one million, six hundred seventy-six thousand, eight hundred sixty-four".