642836680920 has 768 divisors, whose sum is σ = 2511565056000. Its totient is φ = 144850083840.

The previous prime is 642836680853. The next prime is 642836680921. The reversal of 642836680920 is 29086638246.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642836680921) 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 191 ways as a sum of consecutive naturals, for example, 2667372000 + ... + 2667372240.

It is an arithmetic number, because the mean of its divisors is an integer number (3270267000).

Almost surely, 2^642836680920 is an apocalyptic number.

642836680920 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 642836680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255782528000).

642836680920 is an abundant number, since it is smaller than the sum of its proper divisors (1868728375080).

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

642836680920 is a wasteful number, since it uses less digits than its factorization.

642836680920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 642836680920 in words is "six hundred forty-two billion, eight hundred thirty-six million, six hundred eighty thousand, nine hundred twenty".