36607969404304 has 135 divisors (see below), whose sum is σ = 73789995244161. Its totient is φ = 17593746343680.

The previous prime is 36607969404301. The next prime is 36607969404313. The reversal of 36607969404304 is 40340496970663.

The square root of 36607969404304 is 6050452.

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

It can be written as a sum of positive squares in only one way, i.e., 1763977109904 + 34843992294400 = 1328148^2 + 5902880^2 .

It is a super-2 number, since 2×36607969404304² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36607969404301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78389655879 + ... + 78389656345.

Almost surely, 2^{36607969404304} is an apocalyptic number.

36607969404304 is the 6050452-nd square number.

It is an amenable number.

36607969404304 is an abundant number, since it is smaller than the sum of its proper divisors (37182025839857).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36607969404304 is an frugal number, since it uses more digits than its factorization.

36607969404304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 61.

The spelling of 36607969404304 in words is "thirty-six trillion, six hundred seven billion, nine hundred sixty-nine million, four hundred four thousand, three hundred four".