3661601455680 has 168 divisors, whose sum is σ = 13523639427648. Its totient is φ = 836937464832.

The previous prime is 3661601455667. The next prime is 3661601455709. The reversal of 3661601455680 is 865541061663.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38873044 + ... + 38967123.

It is an arithmetic number, because the mean of its divisors is an integer number (80497853736).

Almost surely, 2^{3661601455680} is an apocalyptic number.

3661601455680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3661601455680 is an abundant number, since it is smaller than the sum of its proper divisors (9862037971968).

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

3661601455680 is a wasteful number, since it uses less digits than its factorization.

3661601455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77840201 (or 77840184 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 3661601455680 in words is "three trillion, six hundred sixty-one billion, six hundred one million, four hundred fifty-five thousand, six hundred eighty".