642404420088 has 256 divisors, whose sum is σ = 1761896448000. Its totient is φ = 194480123904.

The previous prime is 642404420081. The next prime is 642404420093. The reversal of 642404420088 is 880024404246.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642404420081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575115306 + ... + 575116422.

It is an arithmetic number, because the mean of its divisors is an integer number (6882408000).

Almost surely, 2^642404420088 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 642404420088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880948224000).

642404420088 is an abundant number, since it is smaller than the sum of its proper divisors (1119492027912).

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

642404420088 is a wasteful number, since it uses less digits than its factorization.

642404420088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 642404420088 in words is "six hundred forty-two billion, four hundred four million, four hundred twenty thousand, eighty-eight".