3640405464000 has 448 divisors, whose sum is σ = 13539264036480. Its totient is φ = 957472358400.

The previous prime is 3640405463999. The next prime is 3640405464043. The reversal of 3640405464000 is 4645040463.

3640405464000 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 4 + 0 + 5 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15652564 + ... + 15883436.

It is an arithmetic number, because the mean of its divisors is an integer number (30221571510).

Almost surely, 2^{3640405464000} is an apocalyptic number.

3640405464000 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 3640405464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769632018240).

3640405464000 is an abundant number, since it is smaller than the sum of its proper divisors (9898858572480).

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

3640405464000 is a wasteful number, since it uses less digits than its factorization.

3640405464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230982 (or 230956 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 3640405464000 in words is "three trillion, six hundred forty billion, four hundred five million, four hundred sixty-four thousand".