360086307840 has 2112 divisors, whose sum is σ = 1633132627200. Its totient is φ = 74714185728.

The previous prime is 360086307799. The next prime is 360086307851. The reversal of 360086307840 is 48703680063.

360086307840 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 8 + 630 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6103157731 + ... + 6103157789.

Almost surely, 2^360086307840 is an apocalyptic number.

360086307840 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 360086307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816566313600).

360086307840 is an abundant number, since it is smaller than the sum of its proper divisors (1273046319360).

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

360086307840 is a wasteful number, since it uses less digits than its factorization.

360086307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 360086307840 in words is "three hundred sixty billion, eighty-six million, three hundred seven thousand, eight hundred forty".