360300068534016 has 864 divisors, whose sum is σ = 1164473179111424. Its totient is φ = 106393595904000.

The previous prime is 360300068534009. The next prime is 360300068534023. The reversal of 360300068534016 is 610435860003063.

360300068534016 is a `hidden beast` number, since 3 + 603 + 0 + 0 + 0 + 6 + 8 + 5 + 34 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (360300068534009) and next prime (360300068534023).

It is a super-2 number, since 2×360300068534016² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 56112762486 + ... + 56112768906.

Almost surely, 2^{360300068534016} is an apocalyptic number.

360300068534016 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 360300068534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582236589555712).

360300068534016 is an abundant number, since it is smaller than the sum of its proper divisors (804173110577408).

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

360300068534016 is a wasteful number, since it uses less digits than its factorization.

360300068534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 360300068534016 in words is "three hundred sixty trillion, three hundred billion, sixty-eight million, five hundred thirty-four thousand, sixteen".