698753610240 has 960 divisors, whose sum is σ = 2716527559680. Its totient is φ = 152599265280.

The previous prime is 698753610223. The next prime is 698753610253. The reversal of 698753610240 is 42016357896.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1038266544 + ... + 1038267216.

It is an arithmetic number, because the mean of its divisors is an integer number (2829716208).

It is a 1-persistent number, because it is pandigital, but 2⋅698753610240 = 1397507220480 is not.

Almost surely, 2^698753610240 is an apocalyptic number.

698753610240 is a gapful number since it is divisible by the number (60) 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 698753610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358263779840).

698753610240 is an abundant number, since it is smaller than the sum of its proper divisors (2017773949440).

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

698753610240 is a wasteful number, since it uses less digits than its factorization.

698753610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 698753610240 in words is "six hundred ninety-eight billion, seven hundred fifty-three million, six hundred ten thousand, two hundred forty".