642682212160 has 112 divisors (see below), whose sum is σ = 1560650224896. Its totient is φ = 252031537152.

The previous prime is 642682212127. The next prime is 642682212167. The reversal of 642682212160 is 61212286246.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642682212167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3818749 + ... + 3983491.

It is an arithmetic number, because the mean of its divisors is an integer number (13934377008).

Almost surely, 2^642682212160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642682212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780325112448).

642682212160 is an abundant number, since it is smaller than the sum of its proper divisors (917968012736).

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

642682212160 is a wasteful number, since it uses less digits than its factorization.

642682212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165000 (or 164990 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 642682212160 in words is "six hundred forty-two billion, six hundred eighty-two million, two hundred twelve thousand, one hundred sixty".