7638797568 has 144 divisors (see below), whose sum is σ = 21030601536. Its totient is φ = 2460057600.

The previous prime is 7638797567. The next prime is 7638797591. The reversal of 7638797568 is 8657978367.

Its product of digits (106686720) is a multiple of the sum of its prime factors (2940).

It is a junction number, because it is equal to n+sod(n) for n = 7638797499 and 7638797508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638797567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725768 + ... + 2728568.

It is an arithmetic number, because the mean of its divisors is an integer number (146045844).

Almost surely, 2^7638797568 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 7638797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10515300768).

7638797568 is an abundant number, since it is smaller than the sum of its proper divisors (13391803968).

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

7638797568 is a wasteful number, since it uses less digits than its factorization.

7638797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2926 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 66.

The square root of 7638797568 is about 87400.2149196442. The cubic root of 7638797568 is about 1969.4350693588.

The spelling of 7638797568 in words is "seven billion, six hundred thirty-eight million, seven hundred ninety-seven thousand, five hundred sixty-eight".