3601682618688 has 896 divisors, whose sum is σ = 13576425984000. Its totient is φ = 928140595200.

The previous prime is 3601682618683. The next prime is 3601682618717. The reversal of 3601682618688 is 8868162861063.

3601682618688 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 6 + 8 + 2 + 618 + 6 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3601682618683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 854084356 + ... + 854088572.

Almost surely, 2^{3601682618688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601682618688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788212992000).

3601682618688 is an abundant number, since it is smaller than the sum of its proper divisors (9974743365312).

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

3601682618688 is a wasteful number, since it uses less digits than its factorization.

3601682618688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 3601682618688 in words is "three trillion, six hundred one billion, six hundred eighty-two million, six hundred eighteen thousand, six hundred eighty-eight".