10070843424768 has 576 divisors, whose sum is σ = 34936261813440. Its totient is φ = 2784441139200.

The previous prime is 10070843424757. The next prime is 10070843424769. The reversal of 10070843424768 is 86742434807001.

10070843424768 is a `hidden beast` number, since 1 + 0 + 0 + 70 + 84 + 3 + 424 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070843424769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447960088 + ... + 447982568.

It is an arithmetic number, because the mean of its divisors is an integer number (60653232315).

Almost surely, 2^{10070843424768} is an apocalyptic number.

10070843424768 is a gapful number since it is divisible by the number (18) 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 10070843424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17468130906720).

10070843424768 is an abundant number, since it is smaller than the sum of its proper divisors (24865418388672).

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

10070843424768 is an equidigital number, since it uses as much as digits as its factorization.

10070843424768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22562 (or 22524 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 10070843424768 in words is "ten trillion, seventy billion, eight hundred forty-three million, four hundred twenty-four thousand, seven hundred sixty-eight".