646634933380080 has 560 divisors, whose sum is σ = 2378723752962720. Its totient is φ = 162948806203392.

The previous prime is 646634933379949. The next prime is 646634933380081. The reversal of 646634933380080 is 80083339436646.

646634933380080 is a `hidden beast` number, since 6 + 4 + 6 + 63 + 493 + 3 + 3 + 8 + 0 + 0 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646634933380081) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 439172794 + ... + 440642726.

Almost surely, 2^{646634933380080} is an apocalyptic number.

646634933380080 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 646634933380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189361876481360).

646634933380080 is an abundant number, since it is smaller than the sum of its proper divisors (1732088819582640).

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

646634933380080 is a wasteful number, since it uses less digits than its factorization.

646634933380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470380 (or 1470359 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 63.

The spelling of 646634933380080 in words is "six hundred forty-six trillion, six hundred thirty-four billion, nine hundred thirty-three million, three hundred eighty thousand, eighty".