6355278400 has 63 divisors (see below), whose sum is σ = 15645807291. Its totient is φ = 2540835840.

The previous prime is 6355278379. The next prime is 6355278401. The reversal of 6355278400 is 48725536.

The square root of 6355278400 is 79720.

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 62346816 + 6292931584 = 7896^2 + 79328^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6355278401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3187804 + ... + 3189796.

Almost surely, 2^6355278400 is an apocalyptic number.

6355278400 is the 79720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6355278400

6355278400 is an abundant number, since it is smaller than the sum of its proper divisors (9290528891).

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

6355278400 is an frugal number, since it uses more digits than its factorization.

6355278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The cubic root of 6355278400 is about 1852.3008528407.

The spelling of 6355278400 in words is "six billion, three hundred fifty-five million, two hundred seventy-eight thousand, four hundred".