726112840320 has 1024 divisors, whose sum is σ = 3177699840000. Its totient is φ = 152965988352.

The previous prime is 726112840309. The next prime is 726112840337. The reversal of 726112840320 is 23048211627.

It is a happy number.

726112840320 is a `hidden beast` number, since 7 + 2 + 611 + 2 + 8 + 4 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 85030611 + ... + 85039149.

It is an arithmetic number, because the mean of its divisors is an integer number (3103222500).

Almost surely, 2^726112840320 is an apocalyptic number.

726112840320 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 726112840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588849920000).

726112840320 is an abundant number, since it is smaller than the sum of its proper divisors (2451586999680).

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

726112840320 is a wasteful number, since it uses less digits than its factorization.

726112840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 726112840320 in words is "seven hundred twenty-six billion, one hundred twelve million, eight hundred forty thousand, three hundred twenty".