8004539980224 has 224 divisors, whose sum is σ = 24327814062080. Its totient is φ = 2578191897600.

The previous prime is 8004539980219. The next prime is 8004539980249. The reversal of 8004539980224 is 4220899354008.

8004539980224 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 539 + 9 + 80 + 2 + 24 = 666.

It is a super-2 number, since 2×8004539980224² (a number of 27 digits) contains 22 as substring.

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

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, 35295417 + ... + 35521479.

Almost surely, 2^{8004539980224} 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 8004539980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163907031040).

8004539980224 is an abundant number, since it is smaller than the sum of its proper divisors (16323274081856).

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

8004539980224 is a wasteful number, since it uses less digits than its factorization.

8004539980224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226776 (or 226760 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 8004539980224 in words is "eight trillion, four billion, five hundred thirty-nine million, nine hundred eighty thousand, two hundred twenty-four".