330332642640 has 3840 divisors, whose sum is σ = 1755487641600. Its totient is φ = 55180984320.

The previous prime is 330332642611. The next prime is 330332642681. The reversal of 330332642640 is 46246233033.

330332642640 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 3 + 2 + 6 + 4 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 330332642595 and 330332642604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7682154459 + ... + 7682154501.

It is an arithmetic number, because the mean of its divisors is an integer number (457158240).

Almost surely, 2^330332642640 is an apocalyptic number.

330332642640 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 330332642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877743820800).

330332642640 is an abundant number, since it is smaller than the sum of its proper divisors (1425154998960).

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

330332642640 is a wasteful number, since it uses less digits than its factorization.

330332642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 330332642640 its reverse (46246233033), we get a palindrome (376578875673).

The spelling of 330332642640 in words is "three hundred thirty billion, three hundred thirty-two million, six hundred forty-two thousand, six hundred forty".