646645880160 has 576 divisors, whose sum is σ = 2596387457664. Its totient is φ = 143459942400.

The previous prime is 646645880119. The next prime is 646645880227. The reversal of 646645880160 is 61088546646.

646645880160 is a `hidden beast` number, since 6 + 46 + 6 + 4 + 588 + 0 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 646645880097 and 646645880106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171932680 + ... + 171936440.

It is an arithmetic number, because the mean of its divisors is an integer number (4507617114).

Almost surely, 2^646645880160 is an apocalyptic number.

646645880160 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 646645880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298193728832).

646645880160 is an abundant number, since it is smaller than the sum of its proper divisors (1949741577504).

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

646645880160 is a wasteful number, since it uses less digits than its factorization.

646645880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 646645880160 in words is "six hundred forty-six billion, six hundred forty-five million, eight hundred eighty thousand, one hundred sixty".