27876467872 has 72 divisors (see below), whose sum is σ = 60541660116. Its totient is φ = 12625536000.

The previous prime is 27876467867. The next prime is 27876467881.

27876467872 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 27676980496 + 199487376 = 166364^2 + 14124^2 .

It is a super-2 number, since 2×27876467872² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075222 + ... + 1100842.

Almost surely, 2^27876467872 is an apocalyptic number.

27876467872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27876467872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270830058).

27876467872 is an abundant number, since it is smaller than the sum of its proper divisors (32665192244).

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

27876467872 is a wasteful number, since it uses less digits than its factorization.

27876467872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25934 (or 25915 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 64.

The spelling of 27876467872 in words is "twenty-seven billion, eight hundred seventy-six million, four hundred sixty-seven thousand, eight hundred seventy-two".