3669805664640 has 512 divisors, whose sum is σ = 13846230720000. Its totient is φ = 915932012544.

The previous prime is 3669805664627. The next prime is 3669805664687. The reversal of 3669805664640 is 464665089663.

It is a happy number.

3669805664640 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 8 + 0 + 566 + 4 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27183226 + ... + 27317894.

It is an arithmetic number, because the mean of its divisors is an integer number (27043419375).

Almost surely, 2^{3669805664640} is an apocalyptic number.

3669805664640 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 3669805664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923115360000).

3669805664640 is an abundant number, since it is smaller than the sum of its proper divisors (10176425055360).

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

3669805664640 is a wasteful number, since it uses less digits than its factorization.

3669805664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134799 (or 134781 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3669805664640 in words is "three trillion, six hundred sixty-nine billion, eight hundred five million, six hundred sixty-four thousand, six hundred forty".