27872342320 has 40 divisors (see below), whose sum is σ = 66181996224. Its totient is φ = 10911724032.

The previous prime is 27872342293. The next prime is 27872342347. The reversal of 27872342320 is 2324327872.

It is an interprime number because it is at equal distance from previous prime (27872342293) and next prime (27872342347).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3702669 + ... + 3710188.

Almost surely, 2^27872342320 is an apocalyptic number.

27872342320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27872342320 is an abundant number, since it is smaller than the sum of its proper divisors (38309653904).

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

27872342320 is a wasteful number, since it uses less digits than its factorization.

27872342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412917 (or 7412911 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 27872342320 in words is "twenty-seven billion, eight hundred seventy-two million, three hundred forty-two thousand, three hundred twenty".