768741605424 has 1200 divisors, whose sum is σ = 2688620774400. Its totient is φ = 211071744000.

The previous prime is 768741605417. The next prime is 768741605431. The reversal of 768741605424 is 424506147867.

768741605424 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 4 + 1 + 605 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (768741605417) and next prime (768741605431).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7611302974 + ... + 7611303074.

It is an arithmetic number, because the mean of its divisors is an integer number (2240517312).

Almost surely, 2^768741605424 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 768741605424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344310387200).

768741605424 is an abundant number, since it is smaller than the sum of its proper divisors (1919879168976).

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

768741605424 is a wasteful number, since it uses less digits than its factorization.

768741605424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 768741605424 in words is "seven hundred sixty-eight billion, seven hundred forty-one million, six hundred five thousand, four hundred twenty-four".