42793169760 has 432 divisors, whose sum is σ = 169967947968. Its totient is φ = 9763184640.

The previous prime is 42793169723. The next prime is 42793169779. The reversal of 42793169760 is 6796139724.

It is a happy number.

42793169760 is a `hidden beast` number, since 427 + 93 + 1 + 69 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42793169697 and 42793169706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2954857 + ... + 2969303.

It is an arithmetic number, because the mean of its divisors is an integer number (393444324).

Almost surely, 2^42793169760 is an apocalyptic number.

42793169760 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 42793169760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84983973984).

42793169760 is an abundant number, since it is smaller than the sum of its proper divisors (127174778208).

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

42793169760 is a wasteful number, since it uses less digits than its factorization.

42793169760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507 (or 14485 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 42793169760 in words is "forty-two billion, seven hundred ninety-three million, one hundred sixty-nine thousand, seven hundred sixty".