6305638293540 has 576 divisors, whose sum is σ = 22647136861440. Its totient is φ = 1462714122240.

The previous prime is 6305638293511. The next prime is 6305638293541. The reversal of 6305638293540 is 453928365036.

6305638293540 is a `hidden beast` number, since 6 + 3 + 0 + 5 + 6 + 3 + 8 + 2 + 93 + 540 = 666.

It is a super-2 number, since 2×6305638293540² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6305638293541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64311994 + ... + 64409966.

It is an arithmetic number, because the mean of its divisors is an integer number (39317945940).

Almost surely, 2^{6305638293540} is an apocalyptic number.

6305638293540 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 6305638293540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323568430720).

6305638293540 is an abundant number, since it is smaller than the sum of its proper divisors (16341498567900).

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

6305638293540 is a wasteful number, since it uses less digits than its factorization.

6305638293540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98074 (or 98060 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 6305638293540 in words is "six trillion, three hundred five billion, six hundred thirty-eight million, two hundred ninety-three thousand, five hundred forty".