726130419768 has 768 divisors, whose sum is σ = 2499865804800. Its totient is φ = 187853783040.

The previous prime is 726130419757. The next prime is 726130419793. The reversal of 726130419768 is 867914031627.

726130419768 is a `hidden beast` number, since 7 + 2 + 613 + 0 + 4 + 19 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 329011321 + ... + 329013527.

It is an arithmetic number, because the mean of its divisors is an integer number (3255033600).

Almost surely, 2^726130419768 is an apocalyptic number.

726130419768 is a gapful number since it is divisible by the number (78) 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 726130419768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249932902400).

726130419768 is an abundant number, since it is smaller than the sum of its proper divisors (1773735385032).

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

726130419768 is a wasteful number, since it uses less digits than its factorization.

726130419768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 726130419768 in words is "seven hundred twenty-six billion, one hundred thirty million, four hundred nineteen thousand, seven hundred sixty-eight".