7748228990656 has 672 divisors, whose sum is σ = 20717392550400. Its totient is φ = 2806128230400.

The previous prime is 7748228990647. The next prime is 7748228990669. The reversal of 7748228990656 is 6560998228477.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16591496535 + ... + 16591497001.

It is an arithmetic number, because the mean of its divisors is an integer number (30829453200).

Almost surely, 2^{7748228990656} is an apocalyptic number.

7748228990656 is a gapful number since it is divisible by the number (76) 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 7748228990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358696275200).

7748228990656 is an abundant number, since it is smaller than the sum of its proper divisors (12969163559744).

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

7748228990656 is a wasteful number, since it uses less digits than its factorization.

7748228990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 7748228990656 in words is "seven trillion, seven hundred forty-eight billion, two hundred twenty-eight million, nine hundred ninety thousand, six hundred fifty-six".