360064802916 has 405 divisors, whose sum is σ = 1157123829771. Its totient is φ = 94357291392.

The previous prime is 360064802899. The next prime is 360064802917. The reversal of 360064802916 is 619208460063.

The square root of 360064802916 is 600054.

It is a perfect power (a square), and thus also a powerful number.

360064802916 is a `hidden beast` number, since 3 + 600 + 6 + 4 + 8 + 0 + 29 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116107836516 + 243956966400 = 340746^2 + 493920^2 .

It is not an unprimeable number, because it can be changed into a prime (360064802917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2293406310 + ... + 2293406466.

Almost surely, 2^360064802916 is an apocalyptic number.

360064802916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

360064802916 is the 600054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360064802916

360064802916 is an abundant number, since it is smaller than the sum of its proper divisors (797059026855).

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

360064802916 is a wasteful number, since it uses less digits than its factorization.

360064802916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 360064802916 in words is "three hundred sixty billion, sixty-four million, eight hundred two thousand, nine hundred sixteen".