6348407040 has 216 divisors, whose sum is σ = 22268664600. Its totient is φ = 1669496832.

The previous prime is 6348406997. The next prime is 6348407047. The reversal of 6348407040 is 407048436.

It can be written as a sum of positive squares in 4 ways, for example, as 1676411136 + 4671995904 = 40944^2 + 68352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6348406986 and 6348407004.

It is not an unprimeable number, because it can be changed into a prime (6348407047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837186 + ... + 844734.

Almost surely, 2^6348407040 is an apocalyptic number.

6348407040 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 6348407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134332300).

6348407040 is an abundant number, since it is smaller than the sum of its proper divisors (15920257560).

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

6348407040 is a wasteful number, since it uses less digits than its factorization.

6348407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6348407040 is about 79676.8915056304. The cubic root of 6348407040 is about 1851.6330396690.

The spelling of 6348407040 in words is "six billion, three hundred forty-eight million, four hundred seven thousand, forty".