360067680000 has 1620 divisors, whose sum is σ = 1570981812400. Its totient is φ = 82301184000.

The previous prime is 360067679987. The next prime is 360067680023. The reversal of 360067680000 is 86760063.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1620).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 51438239997 + ... + 51438240003.

Almost surely, 2^360067680000 is an apocalyptic number.

360067680000 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 360067680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785490906200).

360067680000 is an abundant number, since it is smaller than the sum of its proper divisors (1210914132400).

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

360067680000 is an frugal number, since it uses more digits than its factorization.

360067680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

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

360067680000 divided by its product of nonzero digits (36288) gives a square (9922500 = 3150²).

The spelling of 360067680000 in words is "three hundred sixty billion, sixty-seven million, six hundred eighty thousand".