360870876000 has 1440 divisors, whose sum is σ = 1464270968160. Its totient is φ = 86780160000.

The previous prime is 360870875999. The next prime is 360870876017. The reversal of 360870876000 is 678078063.

360870876000 is a `hidden beast` number, since 36 + 0 + 8 + 7 + 0 + 8 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5915915970 + ... + 5915916030.

It is an arithmetic number, because the mean of its divisors is an integer number (1016854839).

Almost surely, 2^360870876000 is an apocalyptic number.

360870876000 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 360870876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732135484080).

360870876000 is an abundant number, since it is smaller than the sum of its proper divisors (1103400092160).

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

360870876000 is a wasteful number, since it uses less digits than its factorization.

360870876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 360870876000 in words is "three hundred sixty billion, eight hundred seventy million, eight hundred seventy-six thousand".