8021328642 has 64 divisors (see below), whose sum is σ = 18753638400. Its totient is φ = 2538034560.

The previous prime is 8021328613. The next prime is 8021328643. The reversal of 8021328642 is 2468231208.

8021328642 is a `hidden beast` number, since 8 + 0 + 2 + 1 + 3 + 2 + 8 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8021328597 and 8021328606.

It is not an unprimeable number, because it can be changed into a prime (8021328643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32959 + ... + 130877.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 2^8021328642 is an apocalyptic number.

8021328642 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8021328642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376819200).

8021328642 is an abundant number, since it is smaller than the sum of its proper divisors (10732309758).

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

8021328642 is a wasteful number, since it uses less digits than its factorization.

8021328642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98008 (or 98002 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8021328642 is about 89561.8704695251. The cubic root of 8021328642 is about 2001.7758096168.

The spelling of 8021328642 in words is "eight billion, twenty-one million, three hundred twenty-eight thousand, six hundred forty-two".