3600676768128 has 384 divisors, whose sum is σ = 10806162825600. Its totient is φ = 1053475430400.

The previous prime is 3600676768127. The next prime is 3600676768133. The reversal of 3600676768128 is 8218676760063.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3600676768127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2512683700 + ... + 2512685132.

It is an arithmetic number, because the mean of its divisors is an integer number (28141049025).

Almost surely, 2^{3600676768128} 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 3600676768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403081412800).

3600676768128 is an abundant number, since it is smaller than the sum of its proper divisors (7205486057472).

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

3600676768128 is a wasteful number, since it uses less digits than its factorization.

3600676768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 3600676768128 in words is "three trillion, six hundred billion, six hundred seventy-six million, seven hundred sixty-eight thousand, one hundred twenty-eight".