27645054672 has 20 divisors (see below), whose sum is σ = 71416391360. Its totient is φ = 9215018208.

The previous prime is 27645054551. The next prime is 27645054733.

27645054672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 575938639 = 27645054672 / (2 + 7 + 6 + 4 + 5 + 0 + 5 + 4 + 6 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287969272 + ... + 287969367.

It is an arithmetic number, because the mean of its divisors is an integer number (3570819568).

Almost surely, 2^27645054672 is an apocalyptic number.

It is an amenable number.

27645054672 is an abundant number, since it is smaller than the sum of its proper divisors (43771336688).

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

27645054672 is a wasteful number, since it uses less digits than its factorization.

27645054672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575938650 (or 575938644 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 27645054672 in words is "twenty-seven billion, six hundred forty-five million, fifty-four thousand, six hundred seventy-two".