3664134559680 has 672 divisors, whose sum is σ = 14349077232192. Its totient is φ = 787149619200.

The previous prime is 3664134559637. The next prime is 3664134559721. The reversal of 3664134559680 is 869554314663.

3664134559680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656534490 + ... + 656540070.

Almost surely, 2^{3664134559680} is an apocalyptic number.

3664134559680 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 3664134559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174538616096).

3664134559680 is an abundant number, since it is smaller than the sum of its proper divisors (10684942672512).

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

3664134559680 is a wasteful number, since it uses less digits than its factorization.

3664134559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 3664134559680 in words is "three trillion, six hundred sixty-four billion, one hundred thirty-four million, five hundred fifty-nine thousand, six hundred eighty".