7681759680 has 224 divisors, whose sum is σ = 28048817664. Its totient is φ = 1744809984.

The previous prime is 7681759649. The next prime is 7681759681. The reversal of 7681759680 is 869571867.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 7681759680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681759681) 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 31 ways as a sum of consecutive naturals, for example, 1091854 + ... + 1098866.

It is an arithmetic number, because the mean of its divisors is an integer number (125217936).

Almost surely, 2^7681759680 is an apocalyptic number.

7681759680 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 7681759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14024408832).

7681759680 is an abundant number, since it is smaller than the sum of its proper divisors (20367057984).

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

7681759680 is a wasteful number, since it uses less digits than its factorization.

7681759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The square root of 7681759680 is about 87645.6483802818. The cubic root of 7681759680 is about 1973.1203335150.

The spelling of 7681759680 in words is "seven billion, six hundred eighty-one million, seven hundred fifty-nine thousand, six hundred eighty".