7638228640 has 48 divisors (see below), whose sum is σ = 20623220352. Its totient is φ = 2618820864.

The previous prime is 7638228583. The next prime is 7638228739. The reversal of 7638228640 is 468228367.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3408804 + ... + 3411043.

It is an arithmetic number, because the mean of its divisors is an integer number (429650424).

Almost surely, 2^7638228640 is an apocalyptic number.

7638228640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7638228640 is an abundant number, since it is smaller than the sum of its proper divisors (12984991712).

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

7638228640 is a wasteful number, since it uses less digits than its factorization.

7638228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819869 (or 6819861 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 7638228640 is about 87396.9601302013. The cubic root of 7638228640 is about 1969.3861744656.

The spelling of 7638228640 in words is "seven billion, six hundred thirty-eight million, two hundred twenty-eight thousand, six hundred forty".