642065020032 has 64 divisors (see below), whose sum is σ = 1709370590400. Its totient is φ = 213534096384.

The previous prime is 642065020027. The next prime is 642065020063. The reversal of 642065020032 is 230020560246.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×642065020032³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1735803 + ... + 2072954.

It is an arithmetic number, because the mean of its divisors is an integer number (26708915475).

Almost surely, 2^642065020032 is an apocalyptic number.

It is an amenable number.

642065020032 is an abundant number, since it is smaller than the sum of its proper divisors (1067305570368).

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

642065020032 is a wasteful number, since it uses less digits than its factorization.

642065020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809213 (or 3809201 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 642065020032 its reverse (230020560246), we get a palindrome (872085580278).

The spelling of 642065020032 in words is "six hundred forty-two billion, sixty-five million, twenty thousand, thirty-two".