646043655443040 has 288 divisors, whose sum is σ = 2300535285624576. Its totient is φ = 164783785436160.

The previous prime is 646043655443033. The next prime is 646043655443057. The reversal of 646043655443040 is 40344556340646.

646043655443040 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 4 + 3 + 6 + 554 + 43 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438077655 + ... + 1438526825.

It is an arithmetic number, because the mean of its divisors is an integer number (7987969741752).

Almost surely, 2^{646043655443040} is an apocalyptic number.

646043655443040 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 646043655443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150267642812288).

646043655443040 is an abundant number, since it is smaller than the sum of its proper divisors (1654491630181536).

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

646043655443040 is a wasteful number, since it uses less digits than its factorization.

646043655443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492642 (or 492631 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 646043655443040 in words is "six hundred forty-six trillion, forty-three billion, six hundred fifty-five million, four hundred forty-three thousand, forty".