646461709360 has 80 divisors (see below), whose sum is σ = 1516877485056. Its totient is φ = 256206633984.

The previous prime is 646461709357. The next prime is 646461709381. The reversal of 646461709360 is 63907164646.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×646461709360² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 646461709298 and 646461709307.

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 15 ways as a sum of consecutive naturals, for example, 7649094 + ... + 7733146.

Almost surely, 2^646461709360 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 646461709360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758438742528).

646461709360 is an abundant number, since it is smaller than the sum of its proper divisors (870415775696).

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

646461709360 is a wasteful number, since it uses less digits than its factorization.

646461709360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84950 (or 84944 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 646461709360 in words is "six hundred forty-six billion, four hundred sixty-one million, seven hundred nine thousand, three hundred sixty".