8379504000 has 1024 divisors, whose sum is σ = 37577779200. Its totient is φ = 1791590400.

The previous prime is 8379503987. The next prime is 8379504047. The reversal of 8379504000 is 4059738.

8379504000 is a `hidden beast` number, since 83 + 79 + 504 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51407919 + ... + 51408081.

It is an arithmetic number, because the mean of its divisors is an integer number (36697050).

Almost surely, 2^8379504000 is an apocalyptic number.

8379504000 is a gapful number since it is divisible by the number (80) 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 8379504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788889600).

8379504000 is an abundant number, since it is smaller than the sum of its proper divisors (29198275200).

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

8379504000 is a wasteful number, since it uses less digits than its factorization.

8379504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8379504000 is about 91539.6307617635. The cubic root of 8379504000 is about 2031.1380290152.

The spelling of 8379504000 in words is "eight billion, three hundred seventy-nine million, five hundred four thousand".