1345677640767 has 24 divisors (see below), whose sum is σ = 2019886866816. Its totient is φ = 895276216152.

The previous prime is 1345677640717. The next prime is 1345677640781. The reversal of 1345677640767 is 7670467765431.

1345677640767 is a `hidden beast` number, since 1 + 3 + 4 + 567 + 7 + 6 + 4 + 0 + 7 + 67 = 666.

It is not a de Polignac number, because 1345677640767 - 2¹² = 1345677636671 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345677640717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5567253 + ... + 5803934.

It is an arithmetic number, because the mean of its divisors is an integer number (84161952784).

Almost surely, 2^{1345677640767} is an apocalyptic number.

1345677640767 is a deficient number, since it is larger than the sum of its proper divisors (674209226049).

1345677640767 is an equidigital number, since it uses as much as digits as its factorization.

1345677640767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371689 (or 11371677 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 1345677640767 in words is "one trillion, three hundred forty-five billion, six hundred seventy-seven million, six hundred forty thousand, seven hundred sixty-seven".