360067680 has 432 divisors, whose sum is σ = 1487959200. Its totient is φ = 82301184.

The previous prime is 360067679. The next prime is 360067703. The reversal of 360067680 is 86760063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51438237 + ... + 51438243.

It is an arithmetic number, because the mean of its divisors is an integer number (3444350).

Almost surely, 2^360067680 is an apocalyptic number.

360067680 is a gapful number since it is divisible by the number (30) 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 360067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743979600).

360067680 is an abundant number, since it is smaller than the sum of its proper divisors (1127891520).

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

360067680 is an frugal number, since it uses more digits than its factorization.

360067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 360067680 is about 18975.4494017928. The cubic root of 360067680 is about 711.4232378341.

The spelling of 360067680 in words is "three hundred sixty million, sixty-seven thousand, six hundred eighty".