6304535344140 has 192 divisors, whose sum is σ = 19320570759168. Its totient is φ = 1523370470400.

The previous prime is 6304535344111. The next prime is 6304535344189. The reversal of 6304535344140 is 414435354036.

It is a junction number, because it is equal to n+sod(n) for n = 6304535344092 and 6304535344101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518586942 + ... + 518599098.

It is an arithmetic number, because the mean of its divisors is an integer number (100627972704).

Almost surely, 2^{6304535344140} is an apocalyptic number.

6304535344140 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 6304535344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660285379584).

6304535344140 is an abundant number, since it is smaller than the sum of its proper divisors (13016035415028).

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

6304535344140 is a wasteful number, since it uses less digits than its factorization.

6304535344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14688 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 6304535344140 in words is "six trillion, three hundred four billion, five hundred thirty-five million, three hundred forty-four thousand, one hundred forty".