8546363965440 has 1904 divisors, whose sum is σ = 37133148297600. Its totient is φ = 1843761512448.

The previous prime is 8546363965417. The next prime is 8546363965537. The reversal of 8546363965440 is 445693636458.

8546363965440 is a `hidden beast` number, since 8 + 5 + 46 + 3 + 63 + 96 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31770869626 + ... + 31770869894.

Almost surely, 2^{8546363965440} is an apocalyptic number.

8546363965440 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 8546363965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18566574148800).

8546363965440 is an abundant number, since it is smaller than the sum of its proper divisors (28586784332160).

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

8546363965440 is an frugal number, since it uses more digits than its factorization.

8546363965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 8546363965440 in words is "eight trillion, five hundred forty-six billion, three hundred sixty-three million, nine hundred sixty-five thousand, four hundred forty".