646306490835720 has 1536 divisors, whose sum is σ = 2668518501465600. Its totient is φ = 138063370199040.

The previous prime is 646306490835697. The next prime is 646306490835827. The reversal of 646306490835720 is 27538094603646.

646306490835720 is a `hidden beast` number, since 6 + 4 + 63 + 0 + 6 + 490 + 83 + 5 + 7 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3331328239 + ... + 3331522241.

It is an arithmetic number, because the mean of its divisors is an integer number (1737316732725).

Almost surely, 2^{646306490835720} is an apocalyptic number.

646306490835720 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 646306490835720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334259250732800).

646306490835720 is an abundant number, since it is smaller than the sum of its proper divisors (2022212010629880).

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

646306490835720 is a wasteful number, since it uses less digits than its factorization.

646306490835720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194148 (or 194127 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 646306490835720 in words is "six hundred forty-six trillion, three hundred six billion, four hundred ninety million, eight hundred thirty-five thousand, seven hundred twenty".