8406854813760 has 1344 divisors, whose sum is σ = 31125953617920. Its totient is φ = 1917886464000.

The previous prime is 8406854813759. The next prime is 8406854813767. The reversal of 8406854813760 is 673184586048.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8406854813694 and 8406854813703.

It is not an unprimeable number, because it can be changed into a prime (8406854813767) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12166215015 + ... + 12166215705.

It is an arithmetic number, because the mean of its divisors is an integer number (23159191680).

Almost surely, 2^{8406854813760} is an apocalyptic number.

8406854813760 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 8406854813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562976808960).

8406854813760 is an abundant number, since it is smaller than the sum of its proper divisors (22719098804160).

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

8406854813760 is a wasteful number, since it uses less digits than its factorization.

8406854813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 8406854813760 in words is "eight trillion, four hundred six billion, eight hundred fifty-four million, eight hundred thirteen thousand, seven hundred sixty".