723260482560 has 2640 divisors, whose sum is σ = 3415465025280. Its totient is φ = 143061811200.

The previous prime is 723260482559. The next prime is 723260482561. The reversal of 723260482560 is 65284062327.

723260482560 is a `hidden beast` number, since 7 + 2 + 3 + 2 + 6 + 0 + 4 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (723260482559) and next prime (723260482561).

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (723260482561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10186767325 + ... + 10186767395.

It is an arithmetic number, because the mean of its divisors is an integer number (1293736752).

Almost surely, 2^723260482560 is an apocalyptic number.

723260482560 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 723260482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707732512640).

723260482560 is an abundant number, since it is smaller than the sum of its proper divisors (2692204542720).

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

723260482560 is a wasteful number, since it uses less digits than its factorization.

723260482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 723260482560 in words is "seven hundred twenty-three billion, two hundred sixty million, four hundred eighty-two thousand, five hundred sixty".