6745680000 has 480 divisors, whose sum is σ = 25227362160. Its totient is φ = 1793664000.

The previous prime is 6745679989. The next prime is 6745680001. The reversal of 6745680000 is 865476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6745680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19439827 + ... + 19440173.

Almost surely, 2^6745680000 is an apocalyptic number.

6745680000 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 6745680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613681080).

6745680000 is an abundant number, since it is smaller than the sum of its proper divisors (18481682160).

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

6745680000 is an frugal number, since it uses more digits than its factorization.

6745680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6745680000 is about 82132.0887351588. The cubic root of 6745680000 is about 1889.4783140651.

It can be divided in two parts, 67456 and 80000, that added together give a square (147456 = 384²).

The spelling of 6745680000 in words is "six billion, seven hundred forty-five million, six hundred eighty thousand".