7746828048 has 120 divisors (see below), whose sum is σ = 22885628480. Its totient is φ = 2439486720.

The previous prime is 7746828031. The next prime is 7746828059. The reversal of 7746828048 is 8408286477.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7746827985 and 7746828003.

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 23 ways as a sum of consecutive naturals, for example, 1016733 + ... + 1024323.

Almost surely, 2^7746828048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7746828048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442814240).

7746828048 is an abundant number, since it is smaller than the sum of its proper divisors (15138800432).

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

7746828048 is a wasteful number, since it uses less digits than its factorization.

7746828048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 7746828048 is about 88016.0669877949. The cubic root of 7746828048 is about 1978.6757842951.

The spelling of 7746828048 in words is "seven billion, seven hundred forty-six million, eight hundred twenty-eight thousand, forty-eight".