42769792296 has 768 divisors, whose sum is σ = 156686400000. Its totient is φ = 10431590400.

The previous prime is 42769792291. The next prime is 42769792297. The reversal of 42769792296 is 69229796724.

42769792296 is a `hidden beast` number, since 4 + 276 + 9 + 79 + 2 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42769792291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 480559420 + ... + 480559508.

It is an arithmetic number, because the mean of its divisors is an integer number (204018750).

Almost surely, 2^42769792296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42769792296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343200000).

42769792296 is an abundant number, since it is smaller than the sum of its proper divisors (113916607704).

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

42769792296 is a wasteful number, since it uses less digits than its factorization.

42769792296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

It can be divided in two parts, 4276979 and 2296, that added together give a triangular number (4279275 = T₂₉₂₅).

The spelling of 42769792296 in words is "forty-two billion, seven hundred sixty-nine million, seven hundred ninety-two thousand, two hundred ninety-six".