6465040704000 has 1280 divisors, whose sum is σ = 25549911129600. Its totient is φ = 1605795840000.

The previous prime is 6465040703981. The next prime is 6465040704007. The reversal of 6465040704000 is 4070405646.

6465040704000 is a `hidden beast` number, since 6 + 46 + 504 + 0 + 70 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (6465040704007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2966974911 + ... + 2966977089.

It is an arithmetic number, because the mean of its divisors is an integer number (19960868070).

Almost surely, 2^{6465040704000} is an apocalyptic number.

6465040704000 is a gapful number since it is divisible by the number (60) 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 6465040704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774955564800).

6465040704000 is an abundant number, since it is smaller than the sum of its proper divisors (19084870425600).

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

6465040704000 is a wasteful number, since it uses less digits than its factorization.

6465040704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 6465040704000 in words is "six trillion, four hundred sixty-five billion, forty million, seven hundred four thousand".