27672587712 has 1008 divisors, whose sum is σ = 108294281760. Its totient is φ = 6897623040.

The previous prime is 27672587707. The next prime is 27672587729. The reversal of 27672587712 is 21778527672.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×27672587712² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 379076508 + ... + 379076580.

Almost surely, 2^27672587712 is an apocalyptic number.

27672587712 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 27672587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54147140880).

27672587712 is an abundant number, since it is smaller than the sum of its proper divisors (80621694048).

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

27672587712 is a wasteful number, since it uses less digits than its factorization.

27672587712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 133 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The spelling of 27672587712 in words is "twenty-seven billion, six hundred seventy-two million, five hundred eighty-seven thousand, seven hundred twelve".