360668164147200 has 3456 divisors, whose sum is σ = 1736053347974400. Its totient is φ = 71615203246080.

The previous prime is 360668164147199. The next prime is 360668164147301. The reversal of 360668164147200 is 2741461866063.

360668164147200 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 6 + 8 + 16 + 414 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27801439914 + ... + 27801452886.

It is an arithmetic number, because the mean of its divisors is an integer number (502330251150).

Almost surely, 2^{360668164147200} is an apocalyptic number.

360668164147200 is a gapful number since it is divisible by the number (30) 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 360668164147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868026673987200).

360668164147200 is an abundant number, since it is smaller than the sum of its proper divisors (1375385183827200).

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

360668164147200 is a wasteful number, since it uses less digits than its factorization.

360668164147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13064 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 360668164147200 in words is "three hundred sixty trillion, six hundred sixty-eight billion, one hundred sixty-four million, one hundred forty-seven thousand, two hundred".