6346193514240 has 1152 divisors, whose sum is σ = 22511570780160. Its totient is φ = 1517867237376.

The previous prime is 6346193514239. The next prime is 6346193514247. The reversal of 6346193514240 is 424153916436.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6346193514240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6346193514247) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 28458266769 + ... + 28458266991.

It is an arithmetic number, because the mean of its divisors is an integer number (19541294080).

Almost surely, 2^{6346193514240} is an apocalyptic number.

6346193514240 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 6346193514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255785390080).

6346193514240 is an abundant number, since it is smaller than the sum of its proper divisors (16165377265920).

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

6346193514240 is a wasteful number, since it uses less digits than its factorization.

6346193514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 6346193514240 in words is "six trillion, three hundred forty-six billion, one hundred ninety-three million, five hundred fourteen thousand, two hundred forty".