6305938374240 has 576 divisors, whose sum is σ = 22885490234880. Its totient is φ = 1639207342080.

The previous prime is 6305938374143. The next prime is 6305938374251. The reversal of 6305938374240 is 424738395036.

6305938374240 is a `hidden beast` number, since 6 + 3 + 0 + 593 + 8 + 3 + 7 + 4 + 2 + 40 = 666.

It is a super-2 number, since 2×6305938374240² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245669887 + ... + 245695553.

It is an arithmetic number, because the mean of its divisors is an integer number (39731753880).

Almost surely, 2^{6305938374240} is an apocalyptic number.

6305938374240 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 6305938374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442745117440).

6305938374240 is an abundant number, since it is smaller than the sum of its proper divisors (16579551860640).

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

6305938374240 is a wasteful number, since it uses less digits than its factorization.

6305938374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25857 (or 25837 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 6305938374240 in words is "six trillion, three hundred five billion, nine hundred thirty-eight million, three hundred seventy-four thousand, two hundred forty".