330487675560 has 1280 divisors, whose sum is σ = 1369944576000. Its totient is φ = 71327692800.

The previous prime is 330487675501. The next prime is 330487675561. The reversal of 330487675560 is 65576784033.

330487675560 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 8 + 7 + 6 + 75 + 560 = 666.

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 330487675497 and 330487675506.

It is not an unprimeable number, because it can be changed into a prime (330487675561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1825898670 + ... + 1825898850.

It is an arithmetic number, because the mean of its divisors is an integer number (1070269200).

Almost surely, 2^330487675560 is an apocalyptic number.

330487675560 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 330487675560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684972288000).

330487675560 is an abundant number, since it is smaller than the sum of its proper divisors (1039456900440).

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

330487675560 is a wasteful number, since it uses less digits than its factorization.

330487675560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 330487675560 in words is "three hundred thirty billion, four hundred eighty-seven million, six hundred seventy-five thousand, five hundred sixty".