360601474752 has 336 divisors, whose sum is σ = 1129901220000. Its totient is φ = 112751198208.

The previous prime is 360601474699. The next prime is 360601474759. The reversal of 360601474752 is 257474106063.

360601474752 is a `hidden beast` number, since 36 + 0 + 6 + 0 + 147 + 475 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 360601474698 and 360601474707.

It is not an unprimeable number, because it can be changed into a prime (360601474759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174286774 + ... + 174288842.

It is an arithmetic number, because the mean of its divisors is an integer number (3362801250).

Almost surely, 2^360601474752 is an apocalyptic number.

360601474752 is a gapful number since it is divisible by the number (32) 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 360601474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564950610000).

360601474752 is an abundant number, since it is smaller than the sum of its proper divisors (769299745248).

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

360601474752 is a wasteful number, since it uses less digits than its factorization.

360601474752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 360601474752 in words is "three hundred sixty billion, six hundred one million, four hundred seventy-four thousand, seven hundred fifty-two".