6438073976896 has 63 divisors (see below), whose sum is σ = 13484147692941. Its totient is φ = 3049431300864.

The previous prime is 6438073976891. The next prime is 6438073976897. The reversal of 6438073976896 is 6986793708346.

The square root of 6438073976896 is 2537336.

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., 473068840000 + 5965005136896 = 687800^2 + 2442336^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

It is not an unprimeable number, because it can be changed into a prime (6438073976891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 385666726 + ... + 385683418.

Almost surely, 2^{6438073976896} is an apocalyptic number.

6438073976896 is the 2537336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438073976896

6438073976896 is an abundant number, since it is smaller than the sum of its proper divisors (7046073716045).

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

6438073976896 is an frugal number, since it uses more digits than its factorization.

6438073976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33436 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 76.

The spelling of 6438073976896 in words is "six trillion, four hundred thirty-eight billion, seventy-three million, nine hundred seventy-six thousand, eight hundred ninety-six".