7638128784 has 480 divisors, whose sum is σ = 26274568320. Its totient is φ = 2040422400.

The previous prime is 7638128777. The next prime is 7638128789. The reversal of 7638128784 is 4878218367.

It is a happy number.

It is a super-2 number, since 2×7638128784² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7638128784.

It is not an unprimeable number, because it can be changed into a prime (7638128789) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 70074522 + ... + 70074630.

It is an arithmetic number, because the mean of its divisors is an integer number (54738684).

Almost surely, 2^7638128784 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 7638128784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137284160).

7638128784 is an abundant number, since it is smaller than the sum of its proper divisors (18636439536).

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

7638128784 is a wasteful number, since it uses less digits than its factorization.

7638128784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 7638128784 is about 87396.3888498833. The cubic root of 7638128784 is about 1969.3775923762.

The spelling of 7638128784 in words is "seven billion, six hundred thirty-eight million, one hundred twenty-eight thousand, seven hundred eighty-four".