360006431351616 has 672 divisors, whose sum is σ = 1231316592480000. Its totient is φ = 100493254471680.

The previous prime is 360006431351573. The next prime is 360006431351647. The reversal of 360006431351616 is 616153134600063.

360006431351616 is a `hidden beast` number, since 3 + 60 + 0 + 0 + 64 + 3 + 1 + 3 + 516 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×360006431351616² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1795595311 + ... + 1795795793.

Almost surely, 2^{360006431351616} is an apocalyptic number.

360006431351616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360006431351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615658296240000).

360006431351616 is an abundant number, since it is smaller than the sum of its proper divisors (871310161128384).

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

360006431351616 is a wasteful number, since it uses less digits than its factorization.

360006431351616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200732 (or 200705 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

Adding to 360006431351616 its reverse (616153134600063), we get a palindrome (976159565951679).

The spelling of 360006431351616 in words is "three hundred sixty trillion, six billion, four hundred thirty-one million, three hundred fifty-one thousand, six hundred sixteen".