27672404032 has 224 divisors, whose sum is σ = 68944296960. Its totient is φ = 10729635840.

The previous prime is 27672404027. The next prime is 27672404033. The reversal of 27672404032 is 23040427672.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 27672403982 and 27672404000.

It is not an unprimeable number, because it can be changed into a prime (27672404033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102112057 + ... + 102112327.

It is an arithmetic number, because the mean of its divisors is an integer number (307787040).

Almost surely, 2^27672404032 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 27672404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472148480).

27672404032 is an abundant number, since it is smaller than the sum of its proper divisors (41271892928).

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

27672404032 is a wasteful number, since it uses less digits than its factorization.

27672404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The spelling of 27672404032 in words is "twenty-seven billion, six hundred seventy-two million, four hundred four thousand, thirty-two".