672635061729 has 24 divisors (see below), whose sum is σ = 1032295684680. Its totient is φ = 422045501184.

The previous prime is 672635061701. The next prime is 672635061731. The reversal of 672635061729 is 927160536276.

672635061729 is a `hidden beast` number, since 6 + 7 + 2 + 63 + 506 + 1 + 72 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191620685025 + 481014376704 = 437745^2 + 693552^2 .

It is not a de Polignac number, because 672635061729 - 2¹⁷ = 672634930657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (672635061029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7561852 + ... + 7650285.

It is an arithmetic number, because the mean of its divisors is an integer number (43012320195).

Almost surely, 2^672635061729 is an apocalyptic number.

It is an amenable number.

672635061729 is a deficient number, since it is larger than the sum of its proper divisors (359660622951).

672635061729 is a wasteful number, since it uses less digits than its factorization.

672635061729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15212194 (or 15212157 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 672635061729 in words is "six hundred seventy-two billion, six hundred thirty-five million, sixty-one thousand, seven hundred twenty-nine".