423768706560 has 320 divisors, whose sum is σ = 1507532083200. Its totient is φ = 112834584576.

The previous prime is 423768706553. The next prime is 423768706577. The reversal of 423768706560 is 65607867324.

423768706560 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 6 + 8 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×423768706560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 423768706497 and 423768706506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49693017 + ... + 49701543.

It is an arithmetic number, because the mean of its divisors is an integer number (4711037760).

Almost surely, 2^423768706560 is an apocalyptic number.

423768706560 is a gapful number since it is divisible by the number (40) 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 423768706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753766041600).

423768706560 is an abundant number, since it is smaller than the sum of its proper divisors (1083763376640).

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

423768706560 is an equidigital number, since it uses as much as digits as its factorization.

423768706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 423768706560 in words is "four hundred twenty-three billion, seven hundred sixty-eight million, seven hundred six thousand, five hundred sixty".