336327540357672 has 192 divisors, whose sum is σ = 973672533522000. Its totient is φ = 104511036456960.

The previous prime is 336327540357649. The next prime is 336327540357707. The reversal of 336327540357672 is 276753045723633.

It is a happy number.

336327540357672 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 2 + 7 + 54 + 0 + 3 + 576 + 7 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 205425887974596 + 130901652383076 = 14332686^2 + 11441226^2 .

It is a super-2 number, since 2×336327540357672² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73058422 + ... + 77525402.

Almost surely, 2^{336327540357672} 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 336327540357672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486836266761000).

336327540357672 is an abundant number, since it is smaller than the sum of its proper divisors (637344993164328).

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

336327540357672 is a wasteful number, since it uses less digits than its factorization.

336327540357672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467596 (or 4467589 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 63.

The spelling of 336327540357672 in words is "three hundred thirty-six trillion, three hundred twenty-seven billion, five hundred forty million, three hundred fifty-seven thousand, six hundred seventy-two".