729680117301 has 12 divisors (see below), whose sum is σ = 1054167342540. Its totient is φ = 486368049600.

The previous prime is 729680117239. The next prime is 729680117329. The reversal of 729680117301 is 103711086927.

729680117301 is a `hidden beast` number, since 72 + 96 + 80 + 117 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 599809976676 + 129870140625 = 774474^2 + 360375^2 .

It is not a de Polignac number, because 729680117301 - 2¹¹ = 729680115253 is a prime.

It is a super-2 number, since 2×729680117301² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729680117371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7059336 + ... + 7161953.

It is an arithmetic number, because the mean of its divisors is an integer number (87847278545).

Almost surely, 2^729680117301 is an apocalyptic number.

It is an amenable number.

729680117301 is a deficient number, since it is larger than the sum of its proper divisors (324487225239).

729680117301 is a wasteful number, since it uses less digits than its factorization.

729680117301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226996 (or 14226993 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 729680117301 in words is "seven hundred twenty-nine billion, six hundred eighty million, one hundred seventeen thousand, three hundred one".