8355381672 has 128 divisors (see below), whose sum is σ = 24114309120. Its totient is φ = 2387616000.

The previous prime is 8355381647. The next prime is 8355381709. The reversal of 8355381672 is 2761835538.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421422 + ... + 440802.

It is an arithmetic number, because the mean of its divisors is an integer number (188393040).

Almost surely, 2^8355381672 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 8355381672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057154560).

8355381672 is an abundant number, since it is smaller than the sum of its proper divisors (15758927448).

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

8355381672 is a wasteful number, since it uses less digits than its factorization.

8355381672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495 (or 19491 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 8355381672 is about 91407.7768682731. The cubic root of 8355381672 is about 2029.1871232381.

The spelling of 8355381672 in words is "eight billion, three hundred fifty-five million, three hundred eighty-one thousand, six hundred seventy-two".