6268768400 has 60 divisors (see below), whose sum is σ = 15230024100. Its totient is φ = 2479319040.

The previous prime is 6268768399. The next prime is 6268768409. The reversal of 6268768400 is 48678626.

It can be written as a sum of positive squares in 6 ways, for example, as 2367017104 + 3901751296 = 48652^2 + 62464^2 .

It is not an unprimeable number, because it can be changed into a prime (6268768409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52445 + ... + 123644.

It is an arithmetic number, because the mean of its divisors is an integer number (253833735).

Almost surely, 2^6268768400 is an apocalyptic number.

It is an amenable number.

6268768400 is an abundant number, since it is smaller than the sum of its proper divisors (8961255700).

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

6268768400 is a wasteful number, since it uses less digits than its factorization.

6268768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176196 (or 176185 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 6268768400 is about 79175.5543081323. The cubic root of 6268768400 is about 1843.8577301411.

The spelling of 6268768400 in words is "six billion, two hundred sixty-eight million, seven hundred sixty-eight thousand, four hundred".