646550385768 has 864 divisors, whose sum is σ = 2265736730400. Its totient is φ = 171950688000.

The previous prime is 646550385763. The next prime is 646550385907. The reversal of 646550385768 is 867583055646.

646550385768 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 50 + 3 + 8 + 576 + 8 = 666.

646550385768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (646550385763) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4935499063 + ... + 4935499193.

It is an arithmetic number, because the mean of its divisors is an integer number (2622380475).

Almost surely, 2^646550385768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646550385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132868365200).

646550385768 is an abundant number, since it is smaller than the sum of its proper divisors (1619186344632).

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

646550385768 is a wasteful number, since it uses less digits than its factorization.

646550385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 646550385768 in words is "six hundred forty-six billion, five hundred fifty million, three hundred eighty-five thousand, seven hundred sixty-eight".