6297389491600 has 135 divisors (see below), whose sum is σ = 15218381516769. Its totient is φ = 2504240323200.

The previous prime is 6297389491597. The next prime is 6297389491669. The reversal of 6297389491600 is 61949837926.

The square root of 6297389491600 is 2509460.

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

It can be written as a sum of positive squares in only one way, i.e., 2267060216976 + 4030329274624 = 1505676^2 + 2007568^2 .

It is a super-2 number, since 2×6297389491600² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

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, 13601272969 + ... + 13601273431.

Almost surely, 2^{6297389491600} is an apocalyptic number.

6297389491600 is the 2509460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6297389491600

6297389491600 is an abundant number, since it is smaller than the sum of its proper divisors (8920992025169).

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

6297389491600 is an frugal number, since it uses more digits than its factorization.

6297389491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

Multiplying 6297389491600 by its sum of digits (64), we get a square (403032927462400 = 20075680²).

The spelling of 6297389491600 in words is "six trillion, two hundred ninety-seven billion, three hundred eighty-nine million, four hundred ninety-one thousand, six hundred".