798584241396480 has 3456 divisors, whose sum is σ = 3455601540120576. Its totient is φ = 155072190873600.

The previous prime is 798584241396449. The next prime is 798584241396509. The reversal of 798584241396480 is 84693142485897.

It is a junction number, because it is equal to n+sod(n) for n = 798584241396396 and 798584241396405.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 774572493565 + ... + 774572494595.

It is an arithmetic number, because the mean of its divisors is an integer number (999884704896).

It is a 1-persistent number, because it is pandigital, but 2⋅798584241396480 = 1597168482792960 is not.

Almost surely, 2^{798584241396480} is an apocalyptic number.

798584241396480 is a gapful number since it is divisible by the number (70) 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 798584241396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727800770060288).

798584241396480 is an abundant number, since it is smaller than the sum of its proper divisors (2657017298724096).

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

798584241396480 is a wasteful number, since it uses less digits than its factorization.

798584241396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 78.

The spelling of 798584241396480 in words is "seven hundred ninety-eight trillion, five hundred eighty-four billion, two hundred forty-one million, three hundred ninety-six thousand, four hundred eighty".