361797746688 has 384 divisors, whose sum is σ = 1238919776640. Its totient is φ = 103354859520.

The previous prime is 361797746663. The next prime is 361797746719. The reversal of 361797746688 is 886647797163.

It is a happy number.

361797746688 is a `hidden beast` number, since 3 + 6 + 17 + 9 + 77 + 466 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55735123 + ... + 55741613.

It is an arithmetic number, because the mean of its divisors is an integer number (3226353585).

Almost surely, 2^361797746688 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 361797746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619459888320).

361797746688 is an abundant number, since it is smaller than the sum of its proper divisors (877122029952).

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

361797746688 is an frugal number, since it uses more digits than its factorization.

361797746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543 (or 6503 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 361797746688 in words is "three hundred sixty-one billion, seven hundred ninety-seven million, seven hundred forty-six thousand, six hundred eighty-eight".