642819840000 has 960 divisors, whose sum is σ = 2349777830400. Its totient is φ = 155271168000.

The previous prime is 642819839999. The next prime is 642819840007. The reversal of 642819840000 is 48918246.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642819840007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3943679919 + ... + 3943680081.

It is an arithmetic number, because the mean of its divisors is an integer number (2447685240).

Almost surely, 2^642819840000 is an apocalyptic number.

642819840000 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 642819840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174888915200).

642819840000 is an abundant number, since it is smaller than the sum of its proper divisors (1706957990400).

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

642819840000 is a wasteful number, since it uses less digits than its factorization.

642819840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 642819840000 in words is "six hundred forty-two billion, eight hundred nineteen million, eight hundred forty thousand".