798648744960 has 264 divisors, whose sum is σ = 3018871483056. Its totient is φ = 193611694080.

The previous prime is 798648744937. The next prime is 798648744967. The reversal of 798648744960 is 69447846897.

798648744960 is a `hidden beast` number, since 7 + 9 + 8 + 64 + 8 + 74 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798648744967) 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 23 ways as a sum of consecutive naturals, for example, 280929 + ... + 1294688.

It is an arithmetic number, because the mean of its divisors is an integer number (11435119254).

Almost surely, 2^798648744960 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 798648744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509435741528).

798648744960 is an abundant number, since it is smaller than the sum of its proper divisors (2220222738096).

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

798648744960 is a wasteful number, since it uses less digits than its factorization.

798648744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575659 (or 1575638 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 798648744960 in words is "seven hundred ninety-eight billion, six hundred forty-eight million, seven hundred forty-four thousand, nine hundred sixty".