6343642751040 has 1792 divisors, whose sum is σ = 27200839680000. Its totient is φ = 1389487841280.

The previous prime is 6343642751023. The next prime is 6343642751051. The reversal of 6343642751040 is 401572463436.

6343642751040 is a `hidden beast` number, since 6 + 3 + 4 + 364 + 275 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19165083675 + ... + 19165084005.

It is an arithmetic number, because the mean of its divisors is an integer number (15179040000).

Almost surely, 2^{6343642751040} is an apocalyptic number.

6343642751040 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 6343642751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600419840000).

6343642751040 is an abundant number, since it is smaller than the sum of its proper divisors (20857196928960).

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

6343642751040 is a wasteful number, since it uses less digits than its factorization.

6343642751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 6343642751040 in words is "six trillion, three hundred forty-three billion, six hundred forty-two million, seven hundred fifty-one thousand, forty".