360337487328 has 1152 divisors, whose sum is σ = 1468161676800. Its totient is φ = 84694450176.

The previous prime is 360337487327. The next prime is 360337487339. The reversal of 360337487328 is 823784733063.

360337487328 is a `hidden beast` number, since 3 + 603 + 3 + 7 + 4 + 8 + 7 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360337487327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177767851 + ... + 177769877.

It is an arithmetic number, because the mean of its divisors is an integer number (1274445900).

Almost surely, 2^360337487328 is an apocalyptic number.

360337487328 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 360337487328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734080838400).

360337487328 is an abundant number, since it is smaller than the sum of its proper divisors (1107824189472).

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

360337487328 is a wasteful number, since it uses less digits than its factorization.

360337487328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 360337487328 in words is "three hundred sixty billion, three hundred thirty-seven million, four hundred eighty-seven thousand, three hundred twenty-eight".