6454433436000 has 768 divisors, whose sum is σ = 23426052249600. Its totient is φ = 1540509696000.

The previous prime is 6454433435981. The next prime is 6454433436029. The reversal of 6454433436000 is 6343344546.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3089722956 + ... + 3089725044.

It is an arithmetic number, because the mean of its divisors is an integer number (30502672200).

Almost surely, 2^{6454433436000} is an apocalyptic number.

6454433436000 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 6454433436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713026124800).

6454433436000 is an abundant number, since it is smaller than the sum of its proper divisors (16971618813600).

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

6454433436000 is a wasteful number, since it uses less digits than its factorization.

6454433436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 6454433436000 in words is "six trillion, four hundred fifty-four billion, four hundred thirty-three million, four hundred thirty-six thousand".