7642002467 has 8 divisors (see below), whose sum is σ = 8339371200. Its totient is φ = 6945073960.

The previous prime is 7642002461. The next prime is 7642002493.

7642002467 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7642002467 - 2¹⁰ = 7642001443 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7642002467.

It is not an unprimeable number, because it can be changed into a prime (7642002461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73217 + ... + 143682.

It is an arithmetic number, because the mean of its divisors is an integer number (1042421400).

Almost surely, 2^7642002467 is an apocalyptic number.

7642002467 is a deficient number, since it is larger than the sum of its proper divisors (697368733).

7642002467 is a wasteful number, since it uses less digits than its factorization.

7642002467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220113.

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 7642002467 is about 87418.5476143364. The cubic root of 7642002467 is about 1969.7104599078.

It can be divided in two parts, 764200 and 2467, that added together give a palindrome (766667).

The spelling of 7642002467 in words is "seven billion, six hundred forty-two million, two thousand, four hundred sixty-seven".