361332974772000 has 6912 divisors, whose sum is σ = 1783076837068800. Its totient is φ = 67669240320000.

The previous prime is 361332974771987. The next prime is 361332974772001. The reversal of 361332974772000 is 277479233163.

361332974772000 is a `hidden beast` number, since 3 + 61 + 3 + 3 + 2 + 97 + 477 + 20 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361332974772001) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 6124287707971 + ... + 6124287708029.

It is an arithmetic number, because the mean of its divisors is an integer number (257968292400).

Almost surely, 2^{361332974772000} is an apocalyptic number.

361332974772000 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 361332974772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891538418534400).

361332974772000 is an abundant number, since it is smaller than the sum of its proper divisors (1421743862296800).

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

361332974772000 is a wasteful number, since it uses less digits than its factorization.

361332974772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 361332974772000 in words is "three hundred sixty-one trillion, three hundred thirty-two billion, nine hundred seventy-four million, seven hundred seventy-two thousand".