642818711136 has 768 divisors, whose sum is σ = 2166364569600. Its totient is φ = 162773452800.

The previous prime is 642818711111. The next prime is 642818711153. The reversal of 642818711136 is 631117818246.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046534071 + ... + 3046534281.

It is an arithmetic number, because the mean of its divisors is an integer number (2820787200).

Almost surely, 2^642818711136 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 642818711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083182284800).

642818711136 is an abundant number, since it is smaller than the sum of its proper divisors (1523545858464).

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

642818711136 is a wasteful number, since it uses less digits than its factorization.

642818711136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The spelling of 642818711136 in words is "six hundred forty-two billion, eight hundred eighteen million, seven hundred eleven thousand, one hundred thirty-six".