6745939200 has 1620 divisors, whose sum is σ = 33673657248. Its totient is φ = 1293926400.

The previous prime is 6745939183. The next prime is 6745939231. The reversal of 6745939200 is 29395476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 518918394 + ... + 518918406.

Almost surely, 2^6745939200 is an apocalyptic number.

6745939200 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 6745939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836828624).

6745939200 is an abundant number, since it is smaller than the sum of its proper divisors (26927718048).

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

6745939200 is a wasteful number, since it uses less digits than its factorization.

6745939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6745939200 is about 82133.6666659903. Note that the first 5 decimals coincide. The cubic root of 6745939200 is about 1889.5025145661.

The spelling of 6745939200 in words is "six billion, seven hundred forty-five million, nine hundred thirty-nine thousand, two hundred".