360561049600 has 306 divisors, whose sum is σ = 927994476390. Its totient is φ = 138962534400.

The previous prime is 360561049561. The next prime is 360561049609. The reversal of 360561049600 is 6940165063.

It can be written as a sum of positive squares in 3 ways, for example, as 86219751424 + 274341298176 = 293632^2 + 523776^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360561049609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1574502286 + ... + 1574502514.

Almost surely, 2^360561049600 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 360561049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463997238195).

360561049600 is an abundant number, since it is smaller than the sum of its proper divisors (567433426790).

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

360561049600 is an frugal number, since it uses more digits than its factorization.

360561049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 360561049600 in words is "three hundred sixty billion, five hundred sixty-one million, forty-nine thousand, six hundred".