6718140000 has 1200 divisors, whose sum is σ = 30005957520. Its totient is φ = 1451520000.

The previous prime is 6718139969. The next prime is 6718140007. The reversal of 6718140000 is 418176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6718140007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 231659986 + ... + 231660014.

Almost surely, 2^6718140000 is an apocalyptic number.

6718140000 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 6718140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002978760).

6718140000 is an abundant number, since it is smaller than the sum of its proper divisors (23287817520).

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

6718140000 is a wasteful number, since it uses less digits than its factorization.

6718140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 6718140000 is about 81964.2605041978. The cubic root of 6718140000 is about 1886.9034706878.

Adding to 6718140000 its reverse (418176), we get a palindrome (6718558176).

The spelling of 6718140000 in words is "six billion, seven hundred eighteen million, one hundred forty thousand".