8004456976032 has 432 divisors, whose sum is σ = 25784620819776. Its totient is φ = 2352191846400.

The previous prime is 8004456976031. The next prime is 8004456976181. The reversal of 8004456976032 is 2306796544008.

8004456976032 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 4 + 569 + 76 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×8004456976032² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8004456976032.

It is not an unprimeable number, because it can be changed into a prime (8004456976031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238587483 + ... + 238621029.

It is an arithmetic number, because the mean of its divisors is an integer number (59686622268).

Almost surely, 2^{8004456976032} is an apocalyptic number.

8004456976032 is a gapful number since it is divisible by the number (82) 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 8004456976032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892310409888).

8004456976032 is an abundant number, since it is smaller than the sum of its proper divisors (17780163843744).

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

8004456976032 is a wasteful number, since it uses less digits than its factorization.

8004456976032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33793 (or 33771 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 8004456976032 in words is "eight trillion, four billion, four hundred fifty-six million, nine hundred seventy-six thousand, thirty-two".