7131678048 has 180 divisors, whose sum is σ = 23055153660. Its totient is φ = 2161019520.

The previous prime is 7131677989. The next prime is 7131678067. The reversal of 7131678048 is 8408761317.

It is a super-3 number, since 3×7131678048³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7131677994 and 7131678012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 302263 + ... + 325001.

It is an arithmetic number, because the mean of its divisors is an integer number (128084187).

Almost surely, 2^7131678048 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 7131678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527576830).

7131678048 is an abundant number, since it is smaller than the sum of its proper divisors (15923475612).

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

7131678048 is a wasteful number, since it uses less digits than its factorization.

7131678048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22783 (or 22755 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7131678048 is about 84449.2631584196. The cubic root of 7131678048 is about 1924.8515586216.

It can be divided in two parts, 713 and 1678048, that added together give a palindrome (1678761).

The spelling of 7131678048 in words is "seven billion, one hundred thirty-one million, six hundred seventy-eight thousand, forty-eight".