10675642329 has 81 divisors (see below), whose sum is σ = 17689189791. Its totient is φ = 6199380000.

The previous prime is 10675642321. The next prime is 10675642331. The reversal of 10675642329 is 92324657601.

The square root of 10675642329 is 103323.

It is a perfect power (a square), and thus also a powerful number.

10675642329 is a `hidden beast` number, since 1 + 0 + 67 + 564 + 2 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10257030729 + 418611600 = 101277^2 + 20460^2 .

It is not a de Polignac number, because 10675642329 - 2³ = 10675642321 is a prime.

It is a super-2 number, since 2×10675642329² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10675642321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 105699379 + ... + 105699479.

Almost surely, 2^10675642329 is an apocalyptic number.

10675642329 is the 103323-rd square number.

10675642329 is the 51662-nd centered octagonal number.

It is an amenable number.

10675642329 is a deficient number, since it is larger than the sum of its proper divisors (7013547462).

10675642329 is a wasteful number, since it uses less digits than its factorization.

10675642329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10675642329 in words is "ten billion, six hundred seventy-five million, six hundred forty-two thousand, three hundred twenty-nine".