27679300397672 has 64 divisors (see below), whose sum is σ = 68110376947200. Its totient is φ = 10216556533440.

The previous prime is 27679300397569. The next prime is 27679300397677.

27679300397672 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27679300397672² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27679300397677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182460118 + ... + 1182483525.

It is an arithmetic number, because the mean of its divisors is an integer number (1064224639800).

Almost surely, 2^{27679300397672} is an apocalyptic number.

27679300397672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27679300397672 is an abundant number, since it is smaller than the sum of its proper divisors (40431076549528).

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

27679300397672 is a wasteful number, since it uses less digits than its factorization.

27679300397672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364943686 (or 2364943682 counting only the distinct ones).

The product of its (nonzero) digits is 252047376, while the sum is 68.

The spelling of 27679300397672 in words is "twenty-seven trillion, six hundred seventy-nine billion, three hundred million, three hundred ninety-seven thousand, six hundred seventy-two".