8963426304000 has 2880 divisors, whose sum is σ = 40011231117312. Its totient is φ = 1958805504000.

The previous prime is 8963426303941. The next prime is 8963426304061. The reversal of 8963426304000 is 4036243698.

8963426304000 is a `hidden beast` number, since 8 + 9 + 6 + 3 + 4 + 2 + 630 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×8963426304000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107993087959 + ... + 107993088041.

Almost surely, 2^{8963426304000} is an apocalyptic number.

8963426304000 is a gapful number since it is divisible by the number (80) 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 8963426304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20005615558656).

8963426304000 is an abundant number, since it is smaller than the sum of its proper divisors (31047804813312).

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

8963426304000 is an frugal number, since it uses more digits than its factorization.

8963426304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 8963426304000 in words is "eight trillion, nine hundred sixty-three billion, four hundred twenty-six million, three hundred four thousand".