7981723680 has 576 divisors, whose sum is σ = 31460607360. Its totient is φ = 1690730496.

The previous prime is 7981723591. The next prime is 7981723681. The reversal of 7981723680 is 863271897.

It is not an unprimeable number, because it can be changed into a prime (7981723681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23684472 + ... + 23684808.

It is an arithmetic number, because the mean of its divisors is an integer number (54619110).

Almost surely, 2^7981723680 is an apocalyptic number.

7981723680 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 7981723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730303680).

7981723680 is an abundant number, since it is smaller than the sum of its proper divisors (23478883680).

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

7981723680 is a wasteful number, since it uses less digits than its factorization.

7981723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 7981723680 is about 89340.4929469275. The cubic root of 7981723680 is about 1998.4758120540.

The spelling of 7981723680 in words is "seven billion, nine hundred eighty-one million, seven hundred twenty-three thousand, six hundred eighty".