368271432360 has 256 divisors, whose sum is σ = 1323000806400. Its totient is φ = 90582810624.

The previous prime is 368271432343. The next prime is 368271432367. The reversal of 368271432360 is 63234172863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (368271432367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19969704 + ... + 19988136.

It is an arithmetic number, because the mean of its divisors is an integer number (5167971900).

Almost surely, 2^368271432360 is an apocalyptic number.

368271432360 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 368271432360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661500403200).

368271432360 is an abundant number, since it is smaller than the sum of its proper divisors (954729374040).

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

368271432360 is a wasteful number, since it uses less digits than its factorization.

368271432360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19889 (or 19879 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 368271432360 in words is "three hundred sixty-eight billion, two hundred seventy-one million, four hundred thirty-two thousand, three hundred sixty".