65434842938640 has 320 divisors, whose sum is σ = 232613871759360. Its totient is φ = 14905742161920.

The previous prime is 65434842938629. The next prime is 65434842938653. The reversal of 65434842938640 is 4683924843456.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4946311546 + ... + 4946324774.

It is an arithmetic number, because the mean of its divisors is an integer number (726918349248).

Almost surely, 2^{65434842938640} is an apocalyptic number.

65434842938640 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 65434842938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116306935879680).

65434842938640 is an abundant number, since it is smaller than the sum of its proper divisors (167179028820720).

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

65434842938640 is a wasteful number, since it uses less digits than its factorization.

65434842938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23030 (or 23024 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 66.

The spelling of 65434842938640 in words is "sixty-five trillion, four hundred thirty-four billion, eight hundred forty-two million, nine hundred thirty-eight thousand, six hundred forty".