6710040000000 has 1600 divisors, whose sum is σ = 26593935825600. Its totient is φ = 1679616000000.

The previous prime is 6710039999989. The next prime is 6710040000007. The reversal of 6710040000000 is 400176.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6710040000007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61559999946 + ... + 61560000054.

It is an arithmetic number, because the mean of its divisors is an integer number (16621209891).

Almost surely, 2^{6710040000000} is an apocalyptic number.

6710040000000 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 6710040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296967912800).

6710040000000 is an abundant number, since it is smaller than the sum of its proper divisors (19883895825600).

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

6710040000000 is an frugal number, since it uses more digits than its factorization.

6710040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 6710040000000 its reverse (400176), we get a palindrome (6710040400176).

The spelling of 6710040000000 in words is "six trillion, seven hundred ten billion, forty million", and thus it is an aban number.