726489490446720 has 12288 divisors, whose sum is σ = 3902399211110400. Its totient is φ = 119558799360000.

The previous prime is 726489490446719. The next prime is 726489490446799. The reversal of 726489490446720 is 27644094984627.

726489490446720 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 8 + 94 + 90 + 446 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 5545721301055 + ... + 5545721301185.

It is an arithmetic number, because the mean of its divisors is an integer number (317578060800).

Almost surely, 2^{726489490446720} is an apocalyptic number.

726489490446720 is a gapful number since it is divisible by the number (70) 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 726489490446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951199605555200).

726489490446720 is an abundant number, since it is smaller than the sum of its proper divisors (3175909720663680).

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

726489490446720 is a wasteful number, since it uses less digits than its factorization.

726489490446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 726489490446720 in words is "seven hundred twenty-six trillion, four hundred eighty-nine billion, four hundred ninety million, four hundred forty-six thousand, seven hundred twenty".