8004340888704 has 512 divisors, whose sum is σ = 25282160640000. Its totient is φ = 2487044431872.

The previous prime is 8004340888699. The next prime is 8004340888763. The reversal of 8004340888704 is 4078880434008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1637211892 + ... + 1637216780.

It is an arithmetic number, because the mean of its divisors is an integer number (49379220000).

Almost surely, 2^{8004340888704} 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 8004340888704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641080320000).

8004340888704 is an abundant number, since it is smaller than the sum of its proper divisors (17277819751296).

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

8004340888704 is a wasteful number, since it uses less digits than its factorization.

8004340888704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 8004340888704 in words is "eight trillion, four billion, three hundred forty million, eight hundred eighty-eight thousand, seven hundred four".