8420487708672 has 960 divisors, whose sum is σ = 27966430033920. Its totient is φ = 2487169843200.

The previous prime is 8420487708641. The next prime is 8420487708691. The reversal of 8420487708672 is 2768077840248.

8420487708672 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 487 + 7 + 0 + 86 + 72 = 666.

It is a super-2 number, since 2×8420487708672² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 16740531973 + ... + 16740532475.

It is an arithmetic number, because the mean of its divisors is an integer number (29131697952).

Almost surely, 2^{8420487708672} is an apocalyptic number.

8420487708672 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 8420487708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983215016960).

8420487708672 is an abundant number, since it is smaller than the sum of its proper divisors (19545942325248).

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

8420487708672 is a wasteful number, since it uses less digits than its factorization.

8420487708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 8420487708672 in words is "eight trillion, four hundred twenty billion, four hundred eighty-seven million, seven hundred eight thousand, six hundred seventy-two".