3601902648960 has 1152 divisors, whose sum is σ = 15780937311360. Its totient is φ = 735446384640.

The previous prime is 3601902648863. The next prime is 3601902648997. The reversal of 3601902648960 is 698462091063.

3601902648960 is a `hidden beast` number, since 3 + 60 + 190 + 264 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 3601902648897 and 3601902648906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1543891954 + ... + 1543894286.

It is an arithmetic number, because the mean of its divisors is an integer number (13698730305).

Almost surely, 2^{3601902648960} is an apocalyptic number.

3601902648960 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 3601902648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890468655680).

3601902648960 is an abundant number, since it is smaller than the sum of its proper divisors (12179034662400).

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

3601902648960 is a wasteful number, since it uses less digits than its factorization.

3601902648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3601902648960 in words is "three trillion, six hundred one billion, nine hundred two million, six hundred forty-eight thousand, nine hundred sixty".