646786304460 has 288 divisors, whose sum is σ = 2005972480512. Its totient is φ = 168651141120.

The previous prime is 646786304453. The next prime is 646786304491. The reversal of 646786304460 is 64403687646.

646786304460 is a `hidden beast` number, since 6 + 467 + 86 + 3 + 0 + 44 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 646786304397 and 646786304406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1384981147 + ... + 1384981613.

It is an arithmetic number, because the mean of its divisors is an integer number (6965182224).

Almost surely, 2^646786304460 is an apocalyptic number.

646786304460 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 646786304460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002986240256).

646786304460 is an abundant number, since it is smaller than the sum of its proper divisors (1359186176052).

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

646786304460 is a wasteful number, since it uses less digits than its factorization.

646786304460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 646786304460 in words is "six hundred forty-six billion, seven hundred eighty-six million, three hundred four thousand, four hundred sixty".