7112673792 has 540 divisors, whose sum is σ = 25599112110. Its totient is φ = 1895104512.

The previous prime is 7112673791. The next prime is 7112673811. The reversal of 7112673792 is 2973762117.

7112673792 is a `hidden beast` number, since 7 + 11 + 267 + 379 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7112560896 + 112896 = 84336^2 + 336^2 .

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 (7112673791) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 65253834 + ... + 65253942.

Almost surely, 2^7112673792 is an apocalyptic number.

7112673792 is a gapful number since it is divisible by the number (72) 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 7112673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799556055).

7112673792 is an abundant number, since it is smaller than the sum of its proper divisors (18486438318).

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

7112673792 is a wasteful number, since it uses less digits than its factorization.

7112673792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 138 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 7112673792 is about 84336.6693200532. The cubic root of 7112673792 is about 1923.1402777497.

The spelling of 7112673792 in words is "seven billion, one hundred twelve million, six hundred seventy-three thousand, seven hundred ninety-two".