3664766053728 has 384 divisors, whose sum is σ = 12161473228800. Its totient is φ = 1065567799296.

The previous prime is 3664766053727. The next prime is 3664766053789. The reversal of 3664766053728 is 8273506674663.

3664766053728 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 76 + 6 + 0 + 537 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664766053727) 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 63 ways as a sum of consecutive naturals, for example, 15189525 + ... + 15428907.

It is an arithmetic number, because the mean of its divisors is an integer number (31670503200).

Almost surely, 2^{3664766053728} 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 3664766053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080736614400).

3664766053728 is an abundant number, since it is smaller than the sum of its proper divisors (8496707175072).

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

3664766053728 is a wasteful number, since it uses less digits than its factorization.

3664766053728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239491 (or 239477 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 3664766053728 in words is "three trillion, six hundred sixty-four billion, seven hundred sixty-six million, fifty-three thousand, seven hundred twenty-eight".