726531380960 has 576 divisors, whose sum is σ = 2326223370240. Its totient is φ = 211567104000.

The previous prime is 726531380951. The next prime is 726531380987. The reversal of 726531380960 is 69083135627.

It is a junction number, because it is equal to n+sod(n) for n = 726531380899 and 726531380908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77525075 + ... + 77534445.

It is an arithmetic number, because the mean of its divisors is an integer number (4038582240).

Almost surely, 2^726531380960 is an apocalyptic number.

726531380960 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 726531380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163111685120).

726531380960 is an abundant number, since it is smaller than the sum of its proper divisors (1599691989280).

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

726531380960 is a wasteful number, since it uses less digits than its factorization.

726531380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 726531380960 in words is "seven hundred twenty-six billion, five hundred thirty-one million, three hundred eighty thousand, nine hundred sixty".