726810124040 has 192 divisors, whose sum is σ = 2212313402880. Its totient is φ = 209112076800.

The previous prime is 726810123997. The next prime is 726810124043. The reversal of 726810124040 is 40421018627.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (726810124043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 384656 + ... + 1265535.

It is an arithmetic number, because the mean of its divisors is an integer number (11522465640).

Almost surely, 2^726810124040 is an apocalyptic number.

726810124040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

726810124040 is an abundant number, since it is smaller than the sum of its proper divisors (1485503278840).

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

726810124040 is a wasteful number, since it uses less digits than its factorization.

726810124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650244 (or 1650229 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 726810124040 in words is "seven hundred twenty-six billion, eight hundred ten million, one hundred twenty-four thousand, forty".