646412742864 has 480 divisors, whose sum is σ = 2253818960640. Its totient is φ = 168710750208.

The previous prime is 646412742841. The next prime is 646412742917. The reversal of 646412742864 is 468247214646.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 646412742864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322721287 + ... + 322723289.

It is an arithmetic number, because the mean of its divisors is an integer number (4695456168).

Almost surely, 2^646412742864 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 646412742864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126909480320).

646412742864 is an abundant number, since it is smaller than the sum of its proper divisors (1607406217776).

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

646412742864 is a wasteful number, since it uses less digits than its factorization.

646412742864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2578 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 646412742864 in words is "six hundred forty-six billion, four hundred twelve million, seven hundred forty-two thousand, eight hundred sixty-four".