798075190186560 has 2688 divisors, whose sum is σ = 3634003997245440. Its totient is φ = 163731655065600.

The previous prime is 798075190186559. The next prime is 798075190186627. The reversal of 798075190186560 is 65681091570897.

798075190186560 is a `hidden beast` number, since 7 + 9 + 8 + 0 + 7 + 51 + 9 + 0 + 1 + 8 + 6 + 560 = 666.

It is a super-3 number, since 3×798075190186560³ (a number of 46 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6549430594 + ... + 6549552446.

It is an arithmetic number, because the mean of its divisors is an integer number (1351936010880).

Almost surely, 2^{798075190186560} 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 798075190186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817001998622720).

798075190186560 is an abundant number, since it is smaller than the sum of its proper divisors (2835928807058880).

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

798075190186560 is a wasteful number, since it uses less digits than its factorization.

798075190186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121959 (or 121937 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 798075190186560 in words is "seven hundred ninety-eight trillion, seventy-five billion, one hundred ninety million, one hundred eighty-six thousand, five hundred sixty".