642465310020 has 192 divisors, whose sum is σ = 1967099904000. Its totient is φ = 155970385920.

The previous prime is 642465310001. The next prime is 642465310141. The reversal of 642465310020 is 20013564246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97354681 + ... + 97361279.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312000).

Almost surely, 2^642465310020 is an apocalyptic number.

642465310020 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 642465310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983549952000).

642465310020 is an abundant number, since it is smaller than the sum of its proper divisors (1324634593980).

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

642465310020 is a wasteful number, since it uses less digits than its factorization.

642465310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9738 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 642465310020 its reverse (20013564246), we get a palindrome (662478874266).

The spelling of 642465310020 in words is "six hundred forty-two billion, four hundred sixty-five million, three hundred ten thousand, twenty".