7649779467 has 32 divisors (see below), whose sum is σ = 11503134720. Its totient is φ = 4481568000.

The previous prime is 7649779451. The next prime is 7649779477.

7649779467 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7649779467 - 2⁴ = 7649779451 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7649779398 and 7649779407.

It is not an unprimeable number, because it can be changed into a prime (7649779477) 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, 121542 + ... + 173412.

It is an arithmetic number, because the mean of its divisors is an integer number (359472960).

Almost surely, 2^7649779467 is an apocalyptic number.

7649779467 is a deficient number, since it is larger than the sum of its proper divisors (3853355253).

7649779467 is a wasteful number, since it uses less digits than its factorization.

7649779467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52035.

The product of its digits is 112021056, while the sum is 66.

The square root of 7649779467 is about 87463.0177103443. The cubic root of 7649779467 is about 1970.3784019776.

The spelling of 7649779467 in words is "seven billion, six hundred forty-nine million, seven hundred seventy-nine thousand, four hundred sixty-seven".