6753933144 has 128 divisors (see below), whose sum is σ = 21498048000. Its totient is φ = 1924566912.

The previous prime is 6753933143. The next prime is 6753933161. The reversal of 6753933144 is 4413393576.

It is a super-2 number, since 2×6753933144² = 91231225827243449472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6753933144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6753933143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582427 + ... + 593909.

It is an arithmetic number, because the mean of its divisors is an integer number (167953500).

Almost surely, 2^6753933144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6753933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749024000).

6753933144 is an abundant number, since it is smaller than the sum of its proper divisors (14744114856).

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

6753933144 is a wasteful number, since it uses less digits than its factorization.

6753933144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11884 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 6753933144 is about 82182.3164920532. The cubic root of 6753933144 is about 1890.2485740079.

The spelling of 6753933144 in words is "six billion, seven hundred fifty-three million, nine hundred thirty-three thousand, one hundred forty-four".