8672567505665 has 24 divisors (see below), whose sum is σ = 12818325471912. Its totient is φ = 5597085580800.

The previous prime is 8672567505661. The next prime is 8672567505671. The reversal of 8672567505665 is 5665057652768.

It can be written as a sum of positive squares in 4 ways, for example, as 1063802462464 + 7608765043201 = 1031408^2 + 2758399^2 .

It is not a de Polignac number, because 8672567505665 - 2² = 8672567505661 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8672567505595 and 8672567505604.

It is not an unprimeable number, because it can be changed into a prime (8672567505661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041120386 + ... + 1041128715.

It is an arithmetic number, because the mean of its divisors is an integer number (534096894663).

Almost surely, 2^{8672567505665} is an apocalyptic number.

8672567505665 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8672567505665 is a deficient number, since it is larger than the sum of its proper divisors (4145757966247).

8672567505665 is a wasteful number, since it uses less digits than its factorization.

8672567505665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082249137 (or 2082249130 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 68.

The spelling of 8672567505665 in words is "eight trillion, six hundred seventy-two billion, five hundred sixty-seven million, five hundred five thousand, six hundred sixty-five".