27623232672 has 96 divisors (see below), whose sum is σ = 85109496192. Its totient is φ = 7679038464.

The previous prime is 27623232647. The next prime is 27623232719.

It is a happy number.

27623232672 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530623 + ... + 580350.

It is an arithmetic number, because the mean of its divisors is an integer number (886557252).

Almost surely, 2^27623232672 is an apocalyptic number.

It is an amenable number.

27623232672 is an abundant number, since it is smaller than the sum of its proper divisors (57486263520).

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

27623232672 is a wasteful number, since it uses less digits than its factorization.

27623232672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111030 (or 1111022 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The spelling of 27623232672 in words is "twenty-seven billion, six hundred twenty-three million, two hundred thirty-two thousand, six hundred seventy-two".