360344449050768 has 960 divisors, whose sum is σ = 1353288772864000. Its totient is φ = 89380133904384.

The previous prime is 360344449050739. The next prime is 360344449050787. The reversal of 360344449050768 is 867050944443063.

360344449050768 is a `hidden beast` number, since 3 + 6 + 0 + 34 + 4 + 4 + 4 + 90 + 507 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16575933243 + ... + 16575954981.

Almost surely, 2^{360344449050768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360344449050768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676644386432000).

360344449050768 is an abundant number, since it is smaller than the sum of its proper divisors (992944323813232).

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

360344449050768 is a wasteful number, since it uses less digits than its factorization.

360344449050768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23269 (or 23240 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 360344449050768 in words is "three hundred sixty trillion, three hundred forty-four billion, four hundred forty-nine million, fifty thousand, seven hundred sixty-eight".