360345600000 has 1152 divisors, whose sum is σ = 1437582051360. Its totient is φ = 86507520000.

The previous prime is 360345599989. The next prime is 360345600073. The reversal of 360345600000 is 6543063.

360345600000 is a `hidden beast` number, since 3 + 603 + 4 + 56 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15667199989 + ... + 15667200011.

Almost surely, 2^360345600000 is an apocalyptic number.

360345600000 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 360345600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718791025680).

360345600000 is an abundant number, since it is smaller than the sum of its proper divisors (1077236451360).

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

360345600000 is an frugal number, since it uses more digits than its factorization.

360345600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 360345600000 in words is "three hundred sixty billion, three hundred forty-five million, six hundred thousand".