6707312663104 has 189 divisors, whose sum is σ = 14345968512603. Its totient is φ = 3110801104896.

The previous prime is 6707312663099. The next prime is 6707312663237. The reversal of 6707312663104 is 4013662137076.

The square root of 6707312663104 is 2589848.

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

It can be written as a sum of positive squares in 4 ways, for example, as 938092976704 + 5769219686400 = 968552^2 + 2401920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48254047867 + ... + 48254048005.

Almost surely, 2^{6707312663104} is an apocalyptic number.

6707312663104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6707312663104 is the 2589848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6707312663104

6707312663104 is an abundant number, since it is smaller than the sum of its proper divisors (7638655849499).

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

6707312663104 is an equidigital number, since it uses as much as digits as its factorization.

6707312663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 6707312663104 in words is "six trillion, seven hundred seven billion, three hundred twelve million, six hundred sixty-three thousand, one hundred four".