798564960000 has 1440 divisors, whose sum is σ = 3126319257600. Its totient is φ = 200724480000.

The previous prime is 798564959993. The next prime is 798564960001. The reversal of 798564960000 is 69465897.

798564960000 is a `hidden beast` number, since 79 + 8 + 564 + 9 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×798564960000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798564960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8972639956 + ... + 8972640044.

It is an arithmetic number, because the mean of its divisors is an integer number (2171055040).

Almost surely, 2^798564960000 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 798564960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563159628800).

798564960000 is an abundant number, since it is smaller than the sum of its proper divisors (2327754297600).

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

798564960000 is an equidigital number, since it uses as much as digits as its factorization.

798564960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 798564960000 in words is "seven hundred ninety-eight billion, five hundred sixty-four million, nine hundred sixty thousand".