7641661467 has 48 divisors (see below), whose sum is σ = 11783421216. Its totient is φ = 4395916800.

The previous prime is 7641661453. The next prime is 7641661543.

7641661467 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7641661467 - 2¹² = 7641657371 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7641661367) 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, 543733 + ... + 557609.

It is an arithmetic number, because the mean of its divisors is an integer number (245487942).

Almost surely, 2^7641661467 is an apocalyptic number.

7641661467 is a deficient number, since it is larger than the sum of its proper divisors (4141759749).

7641661467 is a wasteful number, since it uses less digits than its factorization.

7641661467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13980 (or 13969 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 7641661467 is about 87416.5972055650. The cubic root of 7641661467 is about 1969.6811621218.

The spelling of 7641661467 in words is "seven billion, six hundred forty-one million, six hundred sixty-one thousand, four hundred sixty-seven".