726413078016 has 240 divisors, whose sum is σ = 2278014435840. Its totient is φ = 221992980480.

The previous prime is 726413078009. The next prime is 726413078029. The reversal of 726413078016 is 610870314627.

726413078016 is a `hidden beast` number, since 7 + 264 + 1 + 307 + 80 + 1 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2580291 + ... + 2847933.

It is an arithmetic number, because the mean of its divisors is an integer number (9491726816).

Almost surely, 2^726413078016 is an apocalyptic number.

726413078016 is a gapful number since it is divisible by the number (76) 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 726413078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139007217920).

726413078016 is an abundant number, since it is smaller than the sum of its proper divisors (1551601357824).

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

726413078016 is a wasteful number, since it uses less digits than its factorization.

726413078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267717 (or 267698 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 726413078016 in words is "seven hundred twenty-six billion, four hundred thirteen million, seventy-eight thousand, sixteen".