6351811278400 has 189 divisors, whose sum is σ = 18183188716227. Its totient is φ = 2177521920000.

The previous prime is 6351811278377. The next prime is 6351811278431. The reversal of 6351811278400 is 48721181536.

The square root of 6351811278400 is 2520280.

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 1415167193664 + 4936644084736 = 1189608^2 + 2221856^2 .

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, 705673900 + ... + 705682900.

Almost surely, 2^{6351811278400} is an apocalyptic number.

6351811278400 is the 2520280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6351811278400

6351811278400 is an abundant number, since it is smaller than the sum of its proper divisors (11831377437827).

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

6351811278400 is an frugal number, since it uses more digits than its factorization.

6351811278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18038 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 6351811278400 in words is "six trillion, three hundred fifty-one billion, eight hundred eleven million, two hundred seventy-eight thousand, four hundred".