6348743040 has 128 divisors (see below), whose sum is σ = 20480947200. Its totient is φ = 1672558592.

The previous prime is 6348742993. The next prime is 6348743057. The reversal of 6348743040 is 403478436.

It is a Cunningham number, because it is equal to 79679²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 6348743040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139441 + ... + 179279.

It is an arithmetic number, because the mean of its divisors is an integer number (160007400).

Almost surely, 2^6348743040 is an apocalyptic number.

6348743040 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 6348743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10240473600).

6348743040 is an abundant number, since it is smaller than the sum of its proper divisors (14132204160).

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

6348743040 is a wasteful number, since it uses less digits than its factorization.

6348743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39944 (or 39932 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 6348743040 is about 79678.9999937248. Note that the first 5 decimals coincide. The cubic root of 6348743040 is about 1851.6657060120.

The spelling of 6348743040 in words is "six billion, three hundred forty-eight million, seven hundred forty-three thousand, forty".