7638918408 has 128 divisors (see below), whose sum is σ = 23585385600. Its totient is φ = 2271110400.

The previous prime is 7638918407. The next prime is 7638918433. The reversal of 7638918408 is 8048198367.

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

It is not an unprimeable number, because it can be changed into a prime (7638918407) 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 31 ways as a sum of consecutive naturals, for example, 95598 + ... + 156258.

It is an arithmetic number, because the mean of its divisors is an integer number (184260825).

Almost surely, 2^7638918408 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 7638918408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792692800).

7638918408 is an abundant number, since it is smaller than the sum of its proper divisors (15946467192).

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

7638918408 is a wasteful number, since it uses less digits than its factorization.

7638918408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60740 (or 60730 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7638918408 is about 87400.9062195582. The cubic root of 7638918408 is about 1969.4454542951.

The spelling of 7638918408 in words is "seven billion, six hundred thirty-eight million, nine hundred eighteen thousand, four hundred eight".