6753640320 has 768 divisors, whose sum is σ = 28870732800. Its totient is φ = 1419706368.

The previous prime is 6753640297. The next prime is 6753640339. The reversal of 6753640320 is 230463576.

6753640320 is a `hidden beast` number, since 6 + 7 + 5 + 3 + 640 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×6753640320² = 91223315143859404800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40440877 + ... + 40441043.

It is an arithmetic number, because the mean of its divisors is an integer number (37592100).

Almost surely, 2^6753640320 is an apocalyptic number.

6753640320 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 6753640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435366400).

6753640320 is an abundant number, since it is smaller than the sum of its proper divisors (22117092480).

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

6753640320 is a wasteful number, since it uses less digits than its factorization.

6753640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 6753640320 is about 82180.5349215981. The cubic root of 6753640320 is about 1890.2212556964.

The spelling of 6753640320 in words is "six billion, seven hundred fifty-three million, six hundred forty thousand, three hundred twenty".