646568420160 has 672 divisors, whose sum is σ = 2363843969280. Its totient is φ = 149147222016.

The previous prime is 646568420149. The next prime is 646568420167. The reversal of 646568420160 is 61024865646.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646568420167) by changing a digit.

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, 990150394 + ... + 990151046.

Almost surely, 2^646568420160 is an apocalyptic number.

646568420160 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 646568420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181921984640).

646568420160 is an abundant number, since it is smaller than the sum of its proper divisors (1717275549120).

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

646568420160 is a wasteful number, since it uses less digits than its factorization.

646568420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 646568420160 in words is "six hundred forty-six billion, five hundred sixty-eight million, four hundred twenty thousand, one hundred sixty".