646020456000 has 224 divisors, whose sum is σ = 2134161319680. Its totient is φ = 172191232000.

The previous prime is 646020455959. The next prime is 646020456031. The reversal of 646020456000 is 654020646.

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 31 ways as a sum of consecutive naturals, for example, 65059036 + ... + 65068964.

Almost surely, 2^646020456000 is an apocalyptic number.

646020456000 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 646020456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067080659840).

646020456000 is an abundant number, since it is smaller than the sum of its proper divisors (1488140863680).

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

646020456000 is a wasteful number, since it uses less digits than its factorization.

646020456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 646020456000 its reverse (654020646), we get a palindrome (646674476646).

The spelling of 646020456000 in words is "six hundred forty-six billion, twenty million, four hundred fifty-six thousand".