646460559360 has 1872 divisors, whose sum is σ = 2961154228032. Its totient is φ = 133772083200.

The previous prime is 646460559319. The next prime is 646460559431. The reversal of 646460559360 is 63955064646.

646460559360 is a `hidden beast` number, since 6 + 4 + 6 + 46 + 0 + 5 + 593 + 6 + 0 = 666.

It is a super-2 number, since 2×646460559360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 646460559297 and 646460559306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2682408840 + ... + 2682409080.

It is an arithmetic number, because the mean of its divisors is an integer number (1581813156).

Almost surely, 2^646460559360 is an apocalyptic number.

646460559360 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 646460559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480577114016).

646460559360 is an abundant number, since it is smaller than the sum of its proper divisors (2314693668672).

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

646460559360 is a wasteful number, since it uses less digits than its factorization.

646460559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 646460559360 in words is "six hundred forty-six billion, four hundred sixty million, five hundred fifty-nine thousand, three hundred sixty".