7638078168 has 128 divisors (see below), whose sum is σ = 24659136000. Its totient is φ = 2145294720.

The previous prime is 7638078157. The next prime is 7638078191. The reversal of 7638078168 is 8618708367.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46398 + ... + 132018.

It is an arithmetic number, because the mean of its divisors is an integer number (192649500).

Almost surely, 2^7638078168 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 7638078168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329568000).

7638078168 is an abundant number, since it is smaller than the sum of its proper divisors (17021057832).

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

7638078168 is a wasteful number, since it uses less digits than its factorization.

7638078168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85702 (or 85692 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7638078168 is about 87396.0992722215. The cubic root of 7638078168 is about 1969.3732421731.

The spelling of 7638078168 in words is "seven billion, six hundred thirty-eight million, seventy-eight thousand, one hundred sixty-eight".