7663123648320 has 448 divisors, whose sum is σ = 29278317465600. Its totient is φ = 1658893271040.

The previous prime is 7663123648277. The next prime is 7663123648331. The reversal of 7663123648320 is 238463213667.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582341901 + ... + 582355059.

It is an arithmetic number, because the mean of its divisors is an integer number (65353387200).

Almost surely, 2^{7663123648320} is an apocalyptic number.

7663123648320 is a gapful number since it is divisible by the number (70) 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 7663123648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639158732800).

7663123648320 is an abundant number, since it is smaller than the sum of its proper divisors (21615193817280).

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

7663123648320 is a wasteful number, since it uses less digits than its factorization.

7663123648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17766 (or 17756 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 7663123648320 in words is "seven trillion, six hundred sixty-three billion, one hundred twenty-three million, six hundred forty-eight thousand, three hundred twenty".