6340680000000 has 1600 divisors, whose sum is σ = 25143357507840. Its totient is φ = 1586304000000.

The previous prime is 6340679999917. The next prime is 6340680000091. The reversal of 6340680000000 is 860436.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61559999949 + ... + 61560000051.

Almost surely, 2^{6340680000000} is an apocalyptic number.

6340680000000 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 6340680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571678753920).

6340680000000 is an abundant number, since it is smaller than the sum of its proper divisors (18802677507840).

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

6340680000000 is an frugal number, since it uses more digits than its factorization.

6340680000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 6340680000000 its reverse (860436), we get a palindrome (6340680860436).

The spelling of 6340680000000 in words is "six trillion, three hundred forty billion, six hundred eighty million", and thus it is an aban number.