8649118396800 has 768 divisors, whose sum is σ = 38303284147200. Its totient is φ = 1860648468480.

The previous prime is 8649118396697. The next prime is 8649118396829. The reversal of 8649118396800 is 86938119468.

8649118396800 is a `hidden beast` number, since 8 + 6 + 491 + 1 + 83 + 9 + 68 + 0 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9860989 + ... + 10702211.

It is an arithmetic number, because the mean of its divisors is an integer number (49874067900).

Almost surely, 2^{8649118396800} is an apocalyptic number.

8649118396800 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 8649118396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151642073600).

8649118396800 is an abundant number, since it is smaller than the sum of its proper divisors (29654165750400).

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

8649118396800 is a wasteful number, since it uses less digits than its factorization.

8649118396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841280 (or 841257 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 8649118396800 in words is "eight trillion, six hundred forty-nine billion, one hundred eighteen million, three hundred ninety-six thousand, eight hundred".