360979734816 has 504 divisors, whose sum is σ = 1163535036804. Its totient is φ = 109744865280.

The previous prime is 360979734803. The next prime is 360979734821. The reversal of 360979734816 is 618437979063.

360979734816 is a `hidden beast` number, since 3 + 60 + 9 + 7 + 97 + 3 + 481 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16434214416 + 344545520400 = 128196^2 + 586980^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2422682710 + ... + 2422682858.

Almost surely, 2^360979734816 is an apocalyptic number.

360979734816 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 360979734816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581767518402).

360979734816 is an abundant number, since it is smaller than the sum of its proper divisors (802555301988).

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

360979734816 is an equidigital number, since it uses as much as digits as its factorization.

360979734816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 360979734816 in words is "three hundred sixty billion, nine hundred seventy-nine million, seven hundred thirty-four thousand, eight hundred sixteen".