3602689735680 has 1584 divisors, whose sum is σ = 15278258159424. Its totient is φ = 781162905600.

The previous prime is 3602689735669. The next prime is 3602689735699. The reversal of 3602689735680 is 865379862063.

3602689735680 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 68 + 9 + 7 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 8984263480 + ... + 8984263880.

Almost surely, 2^{3602689735680} is an apocalyptic number.

3602689735680 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 3602689735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639129079712).

3602689735680 is an abundant number, since it is smaller than the sum of its proper divisors (11675568423744).

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

3602689735680 is a wasteful number, since it uses less digits than its factorization.

3602689735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3602689735680 in words is "three trillion, six hundred two billion, six hundred eighty-nine million, seven hundred thirty-five thousand, six hundred eighty".