8630466566400 has 1944 divisors, whose sum is σ = 37761100593216. Its totient is φ = 1841069260800.

The previous prime is 8630466566369. The next prime is 8630466566441. The reversal of 8630466566400 is 46656640368.

It is a happy number.

8630466566400 is a `hidden beast` number, since 8 + 6 + 30 + 4 + 6 + 6 + 566 + 40 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9171589930 + ... + 9171590870.

Almost surely, 2^{8630466566400} is an apocalyptic number.

8630466566400 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 8630466566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880550296608).

8630466566400 is an abundant number, since it is smaller than the sum of its proper divisors (29130634026816).

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

8630466566400 is a wasteful number, since it uses less digits than its factorization.

8630466566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 8630466566400 in words is "eight trillion, six hundred thirty billion, four hundred sixty-six million, five hundred sixty-six thousand, four hundred".