3602641449960 has 192 divisors, whose sum is σ = 13385989543680. Its totient is φ = 823168604160.

The previous prime is 3602641449949. The next prime is 3602641449977. The reversal of 3602641449960 is 699441462063.

3602641449960 is a `hidden beast` number, since 3 + 60 + 26 + 4 + 14 + 499 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3602641449897 and 3602641449906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6886845 + ... + 7391475.

It is an arithmetic number, because the mean of its divisors is an integer number (69718695540).

Almost surely, 2^{3602641449960} is an apocalyptic number.

3602641449960 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 3602641449960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692994771840).

3602641449960 is an abundant number, since it is smaller than the sum of its proper divisors (9783348093720).

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

3602641449960 is a wasteful number, since it uses less digits than its factorization.

3602641449960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507488 (or 507481 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3602641449960 in words is "three trillion, six hundred two billion, six hundred forty-one million, four hundred forty-nine thousand, nine hundred sixty".