726473593440 has 288 divisors, whose sum is σ = 2834143131456. Its totient is φ = 165998592000.

The previous prime is 726473593429. The next prime is 726473593487. The reversal of 726473593440 is 44395374627.

It is a happy number.

726473593440 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 7 + 3 + 593 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×726473593440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38223940 + ... + 38242940.

It is an arithmetic number, because the mean of its divisors is an integer number (9840774762).

Almost surely, 2^726473593440 is an apocalyptic number.

726473593440 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 726473593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417071565728).

726473593440 is an abundant number, since it is smaller than the sum of its proper divisors (2107669538016).

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

726473593440 is a wasteful number, since it uses less digits than its factorization.

726473593440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22822 (or 22811 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 726473593440 in words is "seven hundred twenty-six billion, four hundred seventy-three million, five hundred ninety-three thousand, four hundred forty".