360766641312 has 1728 divisors, whose sum is σ = 1490114755584. Its totient is φ = 83099934720.

The previous prime is 360766641283. The next prime is 360766641341. The reversal of 360766641312 is 213146667063.

It is an interprime number because it is at equal distance from previous prime (360766641283) and next prime (360766641341).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5384576703 + ... + 5384576769.

It is an arithmetic number, because the mean of its divisors is an integer number (862334928).

Almost surely, 2^360766641312 is an apocalyptic number.

360766641312 is a gapful number since it is divisible by the number (32) 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 360766641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745057377792).

360766641312 is an abundant number, since it is smaller than the sum of its proper divisors (1129348114272).

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

360766641312 is a wasteful number, since it uses less digits than its factorization.

360766641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 360766641312 in words is "three hundred sixty billion, seven hundred sixty-six million, six hundred forty-one thousand, three hundred twelve".