6409743111840 has 768 divisors, whose sum is σ = 21627026749440. Its totient is φ = 1593513492480.

The previous prime is 6409743111839. The next prime is 6409743111901. The reversal of 6409743111840 is 481113479046.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6409743111840.

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 127 ways as a sum of consecutive naturals, for example, 11717994447 + ... + 11717994993.

It is an arithmetic number, because the mean of its divisors is an integer number (28160191080).

Almost surely, 2^{6409743111840} is an apocalyptic number.

6409743111840 is a gapful number since it is divisible by the number (60) 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 6409743111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813513374720).

6409743111840 is an abundant number, since it is smaller than the sum of its proper divisors (15217283637600).

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

6409743111840 is a wasteful number, since it uses less digits than its factorization.

6409743111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 6409743111840 in words is "six trillion, four hundred nine billion, seven hundred forty-three million, one hundred eleven thousand, eight hundred forty".