65834864340000 has 1920 divisors, whose sum is σ = 267878451456000. Its totient is φ = 14106355200000.

The previous prime is 65834864339939. The next prime is 65834864340031. The reversal of 65834864340000 is 4346843856.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39493019167 + ... + 39493020833.

It is an arithmetic number, because the mean of its divisors is an integer number (139520026800).

Almost surely, 2^{65834864340000} is an apocalyptic number.

65834864340000 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 65834864340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939225728000).

65834864340000 is an abundant number, since it is smaller than the sum of its proper divisors (202043587116000).

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

65834864340000 is a wasteful number, since it uses less digits than its factorization.

65834864340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 65834864340000 in words is "sixty-five trillion, eight hundred thirty-four billion, eight hundred sixty-four million, three hundred forty thousand".