646282855680 has 1152 divisors, whose sum is σ = 2670216192000. Its totient is φ = 129328742400.

The previous prime is 646282855583. The next prime is 646282855681. The reversal of 646282855680 is 86558282646.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646282855681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1078936021 + ... + 1078936619.

It is an arithmetic number, because the mean of its divisors is an integer number (2317896000).

Almost surely, 2^646282855680 is an apocalyptic number.

646282855680 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 646282855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335108096000).

646282855680 is an abundant number, since it is smaller than the sum of its proper divisors (2023933336320).

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

646282855680 is a wasteful number, since it uses less digits than its factorization.

646282855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 646282855680 in words is "six hundred forty-six billion, two hundred eighty-two million, eight hundred fifty-five thousand, six hundred eighty".