7728297696 has 384 divisors, whose sum is σ = 26925696000. Its totient is φ = 2109929472.

The previous prime is 7728297691. The next prime is 7728297697. The reversal of 7728297696 is 6967928277.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728297691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24379330 + ... + 24379646.

It is an arithmetic number, because the mean of its divisors is an integer number (70119000).

Almost surely, 2^7728297696 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 7728297696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462848000).

7728297696 is an abundant number, since it is smaller than the sum of its proper divisors (19197398304).

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

7728297696 is a wasteful number, since it uses less digits than its factorization.

7728297696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 7728297696 is about 87910.7370916659. The cubic root of 7728297696 is about 1977.0968657133.

The spelling of 7728297696 in words is "seven billion, seven hundred twenty-eight million, two hundred ninety-seven thousand, six hundred ninety-six".