6393656130624 has 945 divisors, whose sum is σ = 22966344791247. Its totient is φ = 1753572022272.

The previous prime is 6393656130613. The next prime is 6393656130629. The reversal of 6393656130624 is 4260316563936.

The square root of 6393656130624 is 2528568.

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

6393656130624 is a `hidden beast` number, since 6 + 3 + 9 + 3 + 6 + 5 + 6 + 1 + 3 + 0 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1493772840000 + 4899883290624 = 1222200^2 + 2213568^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6393656130629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 36957549802 + ... + 36957549974.

Almost surely, 2^{6393656130624} is an apocalyptic number.

6393656130624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6393656130624 is the 2528568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6393656130624

6393656130624 is an abundant number, since it is smaller than the sum of its proper divisors (16572688660623).

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

6393656130624 is an equidigital number, since it uses as much as digits as its factorization.

6393656130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 6393656130624 in words is "six trillion, three hundred ninety-three billion, six hundred fifty-six million, one hundred thirty thousand, six hundred twenty-four".