6759133920 has 576 divisors, whose sum is σ = 29391538176. Its totient is φ = 1373552640.

The previous prime is 6759133847. The next prime is 6759133963. The reversal of 6759133920 is 293319576.

6759133920 is a `hidden beast` number, since 6 + 7 + 591 + 3 + 39 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5210712 + ... + 5212008.

It is an arithmetic number, because the mean of its divisors is an integer number (51026976).

Almost surely, 2^6759133920 is an apocalyptic number.

6759133920 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 6759133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695769088).

6759133920 is an abundant number, since it is smaller than the sum of its proper divisors (22632404256).

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

6759133920 is a wasteful number, since it uses less digits than its factorization.

6759133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 6759133920 is about 82213.9521006015. The cubic root of 6759133920 is about 1890.7336364122.

The spelling of 6759133920 in words is "six billion, seven hundred fifty-nine million, one hundred thirty-three thousand, nine hundred twenty".