7649009467 has 32 divisors (see below), whose sum is σ = 8866381824. Its totient is φ = 6530832000.

The previous prime is 7649009453. The next prime is 7649009477.

7649009467 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-7649009467 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7649009477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3244053 + ... + 3246409.

It is an arithmetic number, because the mean of its divisors is an integer number (277074432).

Almost surely, 2^7649009467 is an apocalyptic number.

7649009467 is a deficient number, since it is larger than the sum of its proper divisors (1217372357).

7649009467 is a wasteful number, since it uses less digits than its factorization.

7649009467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619.

The product of its (nonzero) digits is 2286144, while the sum is 52.

The square root of 7649009467 is about 87458.6157391026. The cubic root of 7649009467 is about 1970.3122892971.

The spelling of 7649009467 in words is "seven billion, six hundred forty-nine million, nine thousand, four hundred sixty-seven".