6506140693800 has 768 divisors, whose sum is σ = 22902814126080. Its totient is φ = 1526918553600.

The previous prime is 6506140693729. The next prime is 6506140693823. The reversal of 6506140693800 is 83960416056.

It is a self number, because there is not a number n which added to its sum of digits gives 6506140693800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3640816507 + ... + 3640818293.

It is an arithmetic number, because the mean of its divisors is an integer number (29821372560).

Almost surely, 2^{6506140693800} is an apocalyptic number.

6506140693800 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 6506140693800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451407063040).

6506140693800 is an abundant number, since it is smaller than the sum of its proper divisors (16396673432280).

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

6506140693800 is a wasteful number, since it uses less digits than its factorization.

6506140693800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 6506140693800 in words is "six trillion, five hundred six billion, one hundred forty million, six hundred ninety-three thousand, eight hundred".