7638617841 has 8 divisors (see below), whose sum is σ = 10357448160. Its totient is φ = 5006099712.

The previous prime is 7638617813. The next prime is 7638617843. The reversal of 7638617841 is 1487168367.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7638617841 - 2¹⁴ = 7638601457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7638617843) 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 7 ways as a sum of consecutive naturals, for example, 21577840 + ... + 21578193.

It is an arithmetic number, because the mean of its divisors is an integer number (1294681020).

Almost surely, 2^7638617841 is an apocalyptic number.

It is an amenable number.

7638617841 is a deficient number, since it is larger than the sum of its proper divisors (2718830319).

7638617841 is a wasteful number, since it uses less digits than its factorization.

7638617841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43156095.

The product of its digits is 1354752, while the sum is 51.

The square root of 7638617841 is about 87399.1867296258. The cubic root of 7638617841 is about 1969.4196234971.

The spelling of 7638617841 in words is "seven billion, six hundred thirty-eight million, six hundred seventeen thousand, eight hundred forty-one".