6745941600 has 144 divisors (see below), whose sum is σ = 22045495248. Its totient is φ = 1791754240.

The previous prime is 6745941599. The next prime is 6745941611. The reversal of 6745941600 is 61495476.

It is a super-2 number, since 2×6745941600² = 91015456141221120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611332 + ... + 622268.

It is an arithmetic number, because the mean of its divisors is an integer number (153093717).

Almost surely, 2^6745941600 is an apocalyptic number.

6745941600 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 6745941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022747624).

6745941600 is an abundant number, since it is smaller than the sum of its proper divisors (15299553648).

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

6745941600 is a wasteful number, since it uses less digits than its factorization.

6745941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6745941600 is about 82133.6812763193. The cubic root of 6745941600 is about 1889.5027386419.

The spelling of 6745941600 in words is "six billion, seven hundred forty-five million, nine hundred forty-one thousand, six hundred".