6445867413440 has 672 divisors, whose sum is σ = 19713133145664. Its totient is φ = 1989240422400.

The previous prime is 6445867413431. The next prime is 6445867413523. The reversal of 6445867413440 is 443147685446.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1379382944 + ... + 1379387616.

It is an arithmetic number, because the mean of its divisors is an integer number (29335019562).

Almost surely, 2^{6445867413440} 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 6445867413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9856566572832).

6445867413440 is an abundant number, since it is smaller than the sum of its proper divisors (13267265732224).

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

6445867413440 is a wasteful number, since it uses less digits than its factorization.

6445867413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 56.

The spelling of 6445867413440 in words is "six trillion, four hundred forty-five billion, eight hundred sixty-seven million, four hundred thirteen thousand, four hundred forty".