423075016760760 has 1152 divisors, whose sum is σ = 1776999264768000. Its totient is φ = 85314929356800.

The previous prime is 423075016760741. The next prime is 423075016760777. The reversal of 423075016760760 is 67067610570324.

It is a happy number.

423075016760760 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 7 + 501 + 6 + 7 + 60 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 423075016760697 and 423075016760706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12743590641 + ... + 12743623839.

It is an arithmetic number, because the mean of its divisors is an integer number (1542534084000).

Almost surely, 2^{423075016760760} is an apocalyptic number.

423075016760760 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 423075016760760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888499632384000).

423075016760760 is an abundant number, since it is smaller than the sum of its proper divisors (1353924248007240).

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

423075016760760 is a wasteful number, since it uses less digits than its factorization.

423075016760760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34573 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 423075016760760 in words is "four hundred twenty-three trillion, seventy-five billion, sixteen million, seven hundred sixty thousand, seven hundred sixty".