7638348480 has 112 divisors (see below), whose sum is σ = 27716317440. Its totient is φ = 1745906688.

The previous prime is 7638348451. The next prime is 7638348481. The reversal of 7638348480 is 848438367.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (7638348481) 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 15 ways as a sum of consecutive naturals, for example, 561610 + ... + 575049.

It is an arithmetic number, because the mean of its divisors is an integer number (247467120).

Almost surely, 2^7638348480 is an apocalyptic number.

7638348480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7638348480 is an abundant number, since it is smaller than the sum of its proper divisors (20077968960).

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

7638348480 is a wasteful number, since it uses less digits than its factorization.

7638348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136686 (or 1136676 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The square root of 7638348480 is about 87397.6457348824. The cubic root of 7638348480 is about 1969.3964739742.

The spelling of 7638348480 in words is "seven billion, six hundred thirty-eight million, three hundred forty-eight thousand, four hundred eighty".