6340720137444 has 576 divisors, whose sum is σ = 21093257955840. Its totient is φ = 1632150051840.

The previous prime is 6340720137431. The next prime is 6340720137461. The reversal of 6340720137444 is 4447310270436.

6340720137444 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 72 + 0 + 137 + 444 = 666.

It is a super-2 number, since 2×6340720137444² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6340720137444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 837276042 + ... + 837283614.

Almost surely, 2^{6340720137444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6340720137444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546628977920).

6340720137444 is an abundant number, since it is smaller than the sum of its proper divisors (14752537818396).

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

6340720137444 is a wasteful number, since it uses less digits than its factorization.

6340720137444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 6340720137444 in words is "six trillion, three hundred forty billion, seven hundred twenty million, one hundred thirty-seven thousand, four hundred forty-four".