646084717872 has 320 divisors, whose sum is σ = 1934748549120. Its totient is φ = 183980160000.

The previous prime is 646084717867. The next prime is 646084717877. The reversal of 646084717872 is 278717480646.

646084717872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (646084717867) and next prime (646084717877).

It is not an unprimeable number, because it can be changed into a prime (646084717877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78873297 + ... + 78881487.

It is an arithmetic number, because the mean of its divisors is an integer number (6046089216).

Almost surely, 2^646084717872 is an apocalyptic number.

646084717872 is a gapful number since it is divisible by the number (62) 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 646084717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967374274560).

646084717872 is an abundant number, since it is smaller than the sum of its proper divisors (1288663831248).

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

646084717872 is a wasteful number, since it uses less digits than its factorization.

646084717872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 60.

The spelling of 646084717872 in words is "six hundred forty-six billion, eighty-four million, seven hundred seventeen thousand, eight hundred seventy-two".