8004837960 has 384 divisors, whose sum is σ = 31475808000. Its totient is φ = 1829677248.

The previous prime is 8004837943. The next prime is 8004837961. The reversal of 8004837960 is 697384008.

It is a happy number.

8004837960 is a `hidden beast` number, since 80 + 0 + 483 + 7 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004837961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1143548277 + ... + 1143548283.

It is an arithmetic number, because the mean of its divisors is an integer number (81968250).

Almost surely, 2^8004837960 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 8004837960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737904000).

8004837960 is an abundant number, since it is smaller than the sum of its proper divisors (23470970040).

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

8004837960 is an frugal number, since it uses more digits than its factorization.

8004837960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8004837960 is about 89469.7600309736. The cubic root of 8004837960 is about 2000.4030820903.

The spelling of 8004837960 in words is "eight billion, four million, eight hundred thirty-seven thousand, nine hundred sixty".