6753970080 has 864 divisors, whose sum is σ = 28920265920. Its totient is φ = 1459261440.

The previous prime is 6753970063. The next prime is 6753970187. The reversal of 6753970080 is 800793576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6753970080² = 91232223683070412800, which contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232895506 + ... + 232895534.

It is an arithmetic number, because the mean of its divisors is an integer number (33472530).

Almost surely, 2^6753970080 is an apocalyptic number.

6753970080 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 6753970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460132960).

6753970080 is an abundant number, since it is smaller than the sum of its proper divisors (22166295840).

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

6753970080 is a wasteful number, since it uses less digits than its factorization.

6753970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 6753970080 is about 82182.5412116223. The cubic root of 6753970080 is about 1890.2520198072.

The spelling of 6753970080 in words is "six billion, seven hundred fifty-three million, nine hundred seventy thousand, eighty".