6639485958400 has 243 divisors, whose sum is σ = 16997346633393. Its totient is φ = 2567649945600.

The previous prime is 6639485958379. The next prime is 6639485958407. The reversal of 6639485958400 is 48595849366.

The square root of 6639485958400 is 2576720.

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., 2390214945024 + 4249271013376 = 1546032^2 + 2061376^2 .

It is not an unprimeable number, because it can be changed into a prime (6639485958407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6390265081 + ... + 6390266119.

Almost surely, 2^{6639485958400} is an apocalyptic number.

6639485958400 is the 2576720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6639485958400

6639485958400 is an abundant number, since it is smaller than the sum of its proper divisors (10357860674993).

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

6639485958400 is an frugal number, since it uses more digits than its factorization.

6639485958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 67.

The spelling of 6639485958400 in words is "six trillion, six hundred thirty-nine billion, four hundred eighty-five million, nine hundred fifty-eight thousand, four hundred".