27672523776 has 440 divisors, whose sum is σ = 86741968896. Its totient is φ = 8778792960.

The previous prime is 27672523763. The next prime is 27672523777. The reversal of 27672523776 is 67732527672.

27672523776 is a `hidden beast` number, since 276 + 72 + 5 + 237 + 76 = 666.

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

Its product of digits (10372320) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27672523777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217893825 + ... + 217893951.

Almost surely, 2^27672523776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27672523776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43370984448).

27672523776 is an abundant number, since it is smaller than the sum of its proper divisors (59069445120).

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

27672523776 is a wasteful number, since it uses less digits than its factorization.

27672523776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 54.

The spelling of 27672523776 in words is "twenty-seven billion, six hundred seventy-two million, five hundred twenty-three thousand, seven hundred seventy-six".