7433139168 has 216 divisors, whose sum is σ = 26160131088. Its totient is φ = 1960298496.

The previous prime is 7433139163. The next prime is 7433139179. The reversal of 7433139168 is 8619313347.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7433139163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329796 + ... + 351612.

It is an arithmetic number, because the mean of its divisors is an integer number (121111718).

Almost surely, 2^7433139168 is an apocalyptic number.

7433139168 is a gapful number since it is divisible by the number (78) 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 7433139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080065544).

7433139168 is an abundant number, since it is smaller than the sum of its proper divisors (18726991920).

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

7433139168 is a wasteful number, since it uses less digits than its factorization.

7433139168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866 (or 21842 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 7433139168 is about 86215.6550053411. The cubic root of 7433139168 is about 1951.5997538911.

The spelling of 7433139168 in words is "seven billion, four hundred thirty-three million, one hundred thirty-nine thousand, one hundred sixty-eight".