6348741120 has 400 divisors, whose sum is σ = 24090152328. Its totient is φ = 1592524800.

The previous prime is 6348741101. The next prime is 6348741121. The reversal of 6348741120 is 211478436.

6348741120 is a `hidden beast` number, since 63 + 487 + 4 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4757688576 + 1591052544 = 68976^2 + 39888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6348741121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3524220 + ... + 3526020.

Almost surely, 2^6348741120 is an apocalyptic number.

6348741120 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 6348741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045076164).

6348741120 is an abundant number, since it is smaller than the sum of its proper divisors (17741411208).

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

6348741120 is a wasteful number, since it uses less digits than its factorization.

6348741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6348741120 is about 79678.9879453799. The cubic root of 6348741120 is about 1851.6655193505.

The spelling of 6348741120 in words is "six billion, three hundred forty-eight million, seven hundred forty-one thousand, one hundred twenty".