360768819456 has 144 divisors (see below), whose sum is σ = 1071440435520. Its totient is φ = 119739617280.

The previous prime is 360768819431. The next prime is 360768819493. The reversal of 360768819456 is 654918867063.

360768819456 is a `hidden beast` number, since 3 + 607 + 6 + 8 + 8 + 19 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 360768819393 and 360768819402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498491 + ... + 1722501.

It is an arithmetic number, because the mean of its divisors is an integer number (7440558580).

Almost surely, 2^360768819456 is an apocalyptic number.

360768819456 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 360768819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535720217760).

360768819456 is an abundant number, since it is smaller than the sum of its proper divisors (710671616064).

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

360768819456 is a wasteful number, since it uses less digits than its factorization.

360768819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224269 (or 224249 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 360768819456 in words is "three hundred sixty billion, seven hundred sixty-eight million, eight hundred nineteen thousand, four hundred fifty-six".