7643709513 has 54 divisors (see below), whose sum is σ = 12306741902. Its totient is φ = 4567749120.

The previous prime is 7643709509. The next prime is 7643709523. The reversal of 7643709513 is 3159073467.

7643709513 is a `hidden beast` number, since 7 + 64 + 3 + 70 + 9 + 513 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 191185929 + 7452523584 = 13827^2 + 86328^2 .

It is not a de Polignac number, because 7643709513 - 2² = 7643709509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7643709523) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 28415143 + ... + 28415411.

Almost surely, 2^7643709513 is an apocalyptic number.

It is an amenable number.

7643709513 is a deficient number, since it is larger than the sum of its proper divisors (4663032389).

7643709513 is a wasteful number, since it uses less digits than its factorization.

7643709513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7643709513 is about 87428.3107065440. The cubic root of 7643709513 is about 1969.8571115238.

The spelling of 7643709513 in words is "seven billion, six hundred forty-three million, seven hundred nine thousand, five hundred thirteen".