646199930880 has 936 divisors, whose sum is σ = 2720877468192. Its totient is φ = 138934222848.

The previous prime is 646199930869. The next prime is 646199930903. The reversal of 646199930880 is 88039991646.

It is a happy number.

646199930880 is a `hidden beast` number, since 6 + 4 + 619 + 9 + 9 + 3 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 372878494 + ... + 372880226.

It is an arithmetic number, because the mean of its divisors is an integer number (2906920372).

Almost surely, 2^646199930880 is an apocalyptic number.

646199930880 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 646199930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360438734096).

646199930880 is an abundant number, since it is smaller than the sum of its proper divisors (2074677537312).

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

646199930880 is a wasteful number, since it uses less digits than its factorization.

646199930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 646199930880 in words is "six hundred forty-six billion, one hundred ninety-nine million, nine hundred thirty thousand, eight hundred eighty".