6485054400 has 420 divisors, whose sum is σ = 26010184200. Its totient is φ = 1571788800.

The previous prime is 6485054383. The next prime is 6485054437. The reversal of 6485054400 is 44505846.

6485054400 is a `hidden beast` number, since 64 + 8 + 50 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1423326 + ... + 1427874.

It is an arithmetic number, because the mean of its divisors is an integer number (61929010).

Almost surely, 2^6485054400 is an apocalyptic number.

6485054400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6485054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005092100).

6485054400 is an abundant number, since it is smaller than the sum of its proper divisors (19525129800).

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

6485054400 is a wasteful number, since it uses less digits than its factorization.

6485054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 6485054400 is about 80529.8354648760. The cubic root of 6485054400 is about 1864.8241058685.

The spelling of 6485054400 in words is "six billion, four hundred eighty-five million, fifty-four thousand, four hundred".