8128083672 has 192 divisors, whose sum is σ = 23274276480. Its totient is φ = 2657152512.

The previous prime is 8128083671. The next prime is 8128083703. The reversal of 8128083672 is 2763808218.

8128083672 is a `hidden beast` number, since 8 + 1 + 280 + 8 + 367 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8128083671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35806423 + ... + 35806649.

It is an arithmetic number, because the mean of its divisors is an integer number (121220190).

Almost surely, 2^8128083672 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 8128083672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637138240).

8128083672 is an abundant number, since it is smaller than the sum of its proper divisors (15146192808).

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

8128083672 is a wasteful number, since it uses less digits than its factorization.

8128083672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8128083672 is about 90155.8853985695. The cubic root of 8128083672 is about 2010.6171773710.

The spelling of 8128083672 in words is "eight billion, one hundred twenty-eight million, eighty-three thousand, six hundred seventy-two".