360847872000 has 2080 divisors, whose sum is σ = 1692088130304. Its totient is φ = 74317824000.

The previous prime is 360847871977. The next prime is 360847872019. The reversal of 360847872000 is 278748063.

It is a happy number.

360847872000 is a `hidden beast` number, since 360 + 8 + 4 + 7 + 87 + 200 + 0 = 666.

It is a super-2 number, since 2×360847872000² (a number of 24 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 3193343944 + ... + 3193344056.

Almost surely, 2^360847872000 is an apocalyptic number.

360847872000 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 360847872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846044065152).

360847872000 is an abundant number, since it is smaller than the sum of its proper divisors (1331240258304).

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

360847872000 is a wasteful number, since it uses less digits than its factorization.

360847872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 360847872000 in words is "three hundred sixty billion, eight hundred forty-seven million, eight hundred seventy-two thousand".