3640965768000 has 1792 divisors, whose sum is σ = 14986773135360. Its totient is φ = 858009600000.

The previous prime is 3640965767983. The next prime is 3640965768001. The reversal of 3640965768000 is 8675690463.

3640965768000 is a `hidden beast` number, since 3 + 64 + 0 + 9 + 6 + 576 + 8 + 0 + 0 + 0 = 666.

3640965768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640965768001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19062647905 + ... + 19062648095.

Almost surely, 2^{3640965768000} is an apocalyptic number.

3640965768000 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 3640965768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493386567680).

3640965768000 is an abundant number, since it is smaller than the sum of its proper divisors (11345807367360).

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

3640965768000 is a wasteful number, since it uses less digits than its factorization.

3640965768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

It can be divided in two parts, 3640965 and 768000, that added together give a triangular number (4408965 = T₂₉₆₉).

The spelling of 3640965768000 in words is "three trillion, six hundred forty billion, nine hundred sixty-five million, seven hundred sixty-eight thousand".