6557696640000 has 1485 divisors, whose sum is σ = 26278910979321. Its totient is φ = 1573355520000.

The previous prime is 6557696639983. The next prime is 6557696640013. The reversal of 6557696640000 is 466967556.

The square root of 6557696640000 is 2560800.

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

6557696640000 is a `hidden beast` number, since 6 + 5 + 576 + 9 + 6 + 64 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 5314168341504 + 1243528298496 = 2305248^2 + 1115136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 67605119952 + ... + 67605120048.

Almost surely, 2^{6557696640000} is an apocalyptic number.

6557696640000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6557696640000 is the 2560800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6557696640000

6557696640000 is an abundant number, since it is smaller than the sum of its proper divisors (19721214339321).

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

6557696640000 is an equidigital number, since it uses as much as digits as its factorization.

6557696640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 6557696640000 in words is "six trillion, five hundred fifty-seven billion, six hundred ninety-six million, six hundred forty thousand".