7672112767 has 12 divisors (see below), whose sum is σ = 8890869816. Its totient is φ = 6564371840.

The previous prime is 7672112759. The next prime is 7672112797.

7672112767 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7672112767 - 2³ = 7672112759 is a prime.

It is a super-2 number, since 2×7672112767² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7672112797) 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 11 ways as a sum of consecutive naturals, for example, 1203508 + ... + 1209865.

It is an arithmetic number, because the mean of its divisors is an integer number (740905818).

Almost surely, 2^7672112767 is an apocalyptic number.

7672112767 is a deficient number, since it is larger than the sum of its proper divisors (1218757049).

7672112767 is a wasteful number, since it uses less digits than its factorization.

7672112767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413418 (or 2413401 counting only the distinct ones).

The product of its digits is 345744, while the sum is 46.

The square root of 7672112767 is about 87590.5974805515. The cubic root of 7672112767 is about 1972.2940257186.

The spelling of 7672112767 in words is "seven billion, six hundred seventy-two million, one hundred twelve thousand, seven hundred sixty-seven".