360681564100 has 144 divisors (see below), whose sum is σ = 920265224256. Its totient is φ = 120968640000.

The previous prime is 360681564083. The next prime is 360681564119. The reversal of 360681564100 is 1465186063.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18594607 + ... + 18613993.

It is an arithmetic number, because the mean of its divisors is an integer number (6390730724).

Almost surely, 2^360681564100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360681564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460132612128).

360681564100 is an abundant number, since it is smaller than the sum of its proper divisors (559583660156).

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

360681564100 is a wasteful number, since it uses less digits than its factorization.

360681564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20726 (or 20719 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 360681564100 in words is "three hundred sixty billion, six hundred eighty-one million, five hundred sixty-four thousand, one hundred".