361707867648 has 240 divisors, whose sum is σ = 1101352961280. Its totient is φ = 113964060672.

The previous prime is 361707867623. The next prime is 361707867649. The reversal of 361707867648 is 846768707163.

It is a happy number.

361707867648 is a `hidden beast` number, since 3 + 617 + 0 + 7 + 8 + 6 + 7 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361707867649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40532115 + ... + 40541037.

It is an arithmetic number, because the mean of its divisors is an integer number (4588970672).

Almost surely, 2^361707867648 is an apocalyptic number.

361707867648 is a gapful number since it is divisible by the number (38) 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 361707867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550676480640).

361707867648 is an abundant number, since it is smaller than the sum of its proper divisors (739645093632).

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

361707867648 is a wasteful number, since it uses less digits than its factorization.

361707867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 361707867648 in words is "three hundred sixty-one billion, seven hundred seven million, eight hundred sixty-seven thousand, six hundred forty-eight".