798433251840 has 1200 divisors, whose sum is σ = 3352835851200. Its totient is φ = 181066088448.

The previous prime is 798433251829. The next prime is 798433251859. The reversal of 798433251840 is 48152334897.

It is a happy number.

798433251840 is a `hidden beast` number, since 7 + 9 + 8 + 433 + 25 + 184 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1818754341 + ... + 1818754779.

It is an arithmetic number, because the mean of its divisors is an integer number (2794029876).

Almost surely, 2^798433251840 is an apocalyptic number.

798433251840 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 798433251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676417925600).

798433251840 is an abundant number, since it is smaller than the sum of its proper divisors (2554402599360).

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

798433251840 is a wasteful number, since it uses less digits than its factorization.

798433251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 798433251840 in words is "seven hundred ninety-eight billion, four hundred thirty-three million, two hundred fifty-one thousand, eight hundred forty".