798519487731840 has 6144 divisors, whose sum is σ = 3595811910451200. Its totient is φ = 168740941824000.

The previous prime is 798519487731781. The next prime is 798519487732037. The reversal of 798519487731840 is 48137784915897.

798519487731840 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 19 + 487 + 73 + 18 + 40 = 666.

798519487731840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (81) 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 (81).

It is a self number, because there is not a number n which added to its sum of digits gives 798519487731840.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6095568608575 + ... + 6095568608705.

It is an arithmetic number, because the mean of its divisors is an integer number (585255844800).

Almost surely, 2^{798519487731840} is an apocalyptic number.

798519487731840 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 798519487731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797905955225600).

798519487731840 is an abundant number, since it is smaller than the sum of its proper divisors (2797292422719360).

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

798519487731840 is a wasteful number, since it uses less digits than its factorization.

798519487731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 81.

The spelling of 798519487731840 in words is "seven hundred ninety-eight trillion, five hundred nineteen billion, four hundred eighty-seven million, seven hundred thirty-one thousand, eight hundred forty".