8325381504 has 256 divisors, whose sum is σ = 24891264000. Its totient is φ = 2444083200.

The previous prime is 8325381473. The next prime is 8325381517. The reversal of 8325381504 is 4051835238.

It is a congruent number.

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, 20355252 + ... + 20355660.

It is an arithmetic number, because the mean of its divisors is an integer number (97231500).

Almost surely, 2^8325381504 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 8325381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445632000).

8325381504 is an abundant number, since it is smaller than the sum of its proper divisors (16565882496).

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

8325381504 is a wasteful number, since it uses less digits than its factorization.

8325381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 8325381504 is about 91243.5285595642. The cubic root of 8325381504 is about 2026.7555982059.

The spelling of 8325381504 in words is "eight billion, three hundred twenty-five million, three hundred eighty-one thousand, five hundred four".