7638666048 has 336 divisors, whose sum is σ = 24463857600. Its totient is φ = 2263818240.

The previous prime is 7638666019. The next prime is 7638666059. The reversal of 7638666048 is 8406668367.

It is a junction number, because it is equal to n+sod(n) for n = 7638665985 and 7638666003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42674023 + ... + 42674201.

It is an arithmetic number, because the mean of its divisors is an integer number (72809100).

Almost surely, 2^7638666048 is an apocalyptic number.

7638666048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231928800).

7638666048 is an abundant number, since it is smaller than the sum of its proper divisors (16825191552).

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

7638666048 is a wasteful number, since it uses less digits than its factorization.

7638666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 7638666048 is about 87399.4625155098. The cubic root of 7638666048 is about 1969.4237664635.

The spelling of 7638666048 in words is "seven billion, six hundred thirty-eight million, six hundred sixty-six thousand, forty-eight".