7664298924667 has 48 divisors (see below), whose sum is σ = 10049814351360. Its totient is φ = 5710626789120.

The previous prime is 7664298924643. The next prime is 7664298924677.

7664298924667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7664298924667 - 2¹¹ = 7664298922619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7664298924593 and 7664298924602.

It is not an unprimeable number, because it can be changed into a prime (7664298924637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60113128 + ... + 60240490.

It is an arithmetic number, because the mean of its divisors is an integer number (209371132320).

Almost surely, 2^{7664298924667} is an apocalyptic number.

7664298924667 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7664298924667 is a deficient number, since it is larger than the sum of its proper divisors (2385515426693).

7664298924667 is a wasteful number, since it uses less digits than its factorization.

7664298924667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130504 (or 130493 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 76.

The spelling of 7664298924667 in words is "seven trillion, six hundred sixty-four billion, two hundred ninety-eight million, nine hundred twenty-four thousand, six hundred sixty-seven".