8021680128 has 560 divisors, whose sum is σ = 30068178624. Its totient is φ = 2070282240.

The previous prime is 8021680127. The next prime is 8021680153. The reversal of 8021680128 is 8210861208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8021680092 and 8021680101.

It is not an unprimeable number, because it can be changed into a prime (8021680127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51093426 + ... + 51093582.

Almost surely, 2^8021680128 is an apocalyptic number.

8021680128 is a gapful number since it is divisible by the number (88) 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 8021680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034089312).

8021680128 is an abundant number, since it is smaller than the sum of its proper divisors (22046498496).

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

8021680128 is a wasteful number, since it uses less digits than its factorization.

8021680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8021680128 is about 89563.8327004824. The cubic root of 8021680128 is about 2001.8050477446.

The spelling of 8021680128 in words is "eight billion, twenty-one million, six hundred eighty thousand, one hundred twenty-eight".