366803095968 has 144 divisors (see below), whose sum is σ = 1110180334536. Its totient is φ = 114478940160.

The previous prime is 366803095937. The next prime is 366803095987. The reversal of 366803095968 is 869590308663.

366803095968 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 0 + 30 + 9 + 596 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213211215504 + 153591880464 = 461748^2 + 391908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×366803095968³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750838 + ... + 1139018.

Almost surely, 2^366803095968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366803095968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555090167268).

366803095968 is an abundant number, since it is smaller than the sum of its proper divisors (743377238568).

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

366803095968 is a wasteful number, since it uses less digits than its factorization.

366803095968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388407 (or 388396 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 366803095968 in words is "three hundred sixty-six billion, eight hundred three million, ninety-five thousand, nine hundred sixty-eight".