723462225920 has 256 divisors, whose sum is σ = 2000350494720. Its totient is φ = 246041542656.

The previous prime is 723462225817. The next prime is 723462225949. The reversal of 723462225920 is 29522264327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×723462225920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 145651277 + ... + 145656243.

It is an arithmetic number, because the mean of its divisors is an integer number (7813869120).

Almost surely, 2^723462225920 is an apocalyptic number.

723462225920 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 723462225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000175247360).

723462225920 is an abundant number, since it is smaller than the sum of its proper divisors (1276888268800).

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

723462225920 is an equidigital number, since it uses as much as digits as its factorization.

723462225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 723462225920 in words is "seven hundred twenty-three billion, four hundred sixty-two million, two hundred twenty-five thousand, nine hundred twenty".