8404347420672 has 768 divisors, whose sum is σ = 26988424473600. Its totient is φ = 2278254182400.

The previous prime is 8404347420661. The next prime is 8404347420737. The reversal of 8404347420672 is 2760247434048.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×8404347420672³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46951661479 + ... + 46951661657.

It is an arithmetic number, because the mean of its divisors is an integer number (35141177700).

Almost surely, 2^{8404347420672} 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 8404347420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494212236800).

8404347420672 is an abundant number, since it is smaller than the sum of its proper divisors (18584077052928).

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

8404347420672 is an equidigital number, since it uses as much as digits as its factorization.

8404347420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 51.

The spelling of 8404347420672 in words is "eight trillion, four hundred four billion, three hundred forty-seven million, four hundred twenty thousand, six hundred seventy-two".