726048769032 has 192 divisors, whose sum is σ = 2075577154560. Its totient is φ = 228825907200.

The previous prime is 726048769027. The next prime is 726048769049. The reversal of 726048769032 is 230967840627.

726048769032 is a `hidden beast` number, since 72 + 6 + 0 + 487 + 6 + 90 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 726048769032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159184032 + ... + 159188592.

It is an arithmetic number, because the mean of its divisors is an integer number (10810297680).

Almost surely, 2^726048769032 is an apocalyptic number.

726048769032 is a gapful number since it is divisible by the number (72) 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 726048769032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037788577280).

726048769032 is an abundant number, since it is smaller than the sum of its proper divisors (1349528385528).

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

726048769032 is a wasteful number, since it uses less digits than its factorization.

726048769032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 726048769032 in words is "seven hundred twenty-six billion, forty-eight million, seven hundred sixty-nine thousand, thirty-two".