6753782230416 has 405 divisors, whose sum is σ = 21287604526851. Its totient is φ = 2074718790144.

The previous prime is 6753782230357. The next prime is 6753782230453. The reversal of 6753782230416 is 6140322873576.

It is a happy number.

The square root of 6753782230416 is 2598804.

It is a perfect power (a square), and thus also a powerful number.

6753782230416 is a `hidden beast` number, since 6 + 7 + 5 + 378 + 223 + 0 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4812775990416 + 1941006240000 = 2193804^2 + 1393200^2 .

It is a super-2 number, since 2×6753782230416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10946162140 + ... + 10946162756.

Almost surely, 2^{6753782230416} is an apocalyptic number.

6753782230416 is the 2598804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6753782230416

6753782230416 is an abundant number, since it is smaller than the sum of its proper divisors (14533822296435).

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

6753782230416 is an frugal number, since it uses more digits than its factorization.

6753782230416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 6753782230416 in words is "six trillion, seven hundred fifty-three billion, seven hundred eighty-two million, two hundred thirty thousand, four hundred sixteen".