406792166760 has 768 divisors, whose sum is σ = 1650475008000. Its totient is φ = 84794480640.

The previous prime is 406792166731. The next prime is 406792166801. The reversal of 406792166760 is 67661297604.

406792166760 is a `hidden beast` number, since 406 + 7 + 9 + 2 + 166 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 406792166697 and 406792166706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 330993826 + ... + 330995054.

It is an arithmetic number, because the mean of its divisors is an integer number (2149056000).

Almost surely, 2^406792166760 is an apocalyptic number.

406792166760 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 406792166760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825237504000).

406792166760 is an abundant number, since it is smaller than the sum of its proper divisors (1243682841240).

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

406792166760 is a wasteful number, since it uses less digits than its factorization.

406792166760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 406792166760 in words is "four hundred six billion, seven hundred ninety-two million, one hundred sixty-six thousand, seven hundred sixty".