8259068694240 has 1440 divisors, whose sum is σ = 36265769971200. Its totient is φ = 1733175595008.

The previous prime is 8259068694203. The next prime is 8259068694271. The reversal of 8259068694240 is 424968609528.

8259068694240 is a `hidden beast` number, since 8 + 2 + 5 + 90 + 68 + 69 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3051002967 + ... + 3051005673.

It is an arithmetic number, because the mean of its divisors is an integer number (25184562480).

Almost surely, 2^{8259068694240} is an apocalyptic number.

8259068694240 is a gapful number since it is divisible by the number (80) 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 8259068694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132884985600).

8259068694240 is an abundant number, since it is smaller than the sum of its proper divisors (28006701276960).

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

8259068694240 is a wasteful number, since it uses less digits than its factorization.

8259068694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 8259068694240 in words is "eight trillion, two hundred fifty-nine billion, sixty-eight million, six hundred ninety-four thousand, two hundred forty".