6254558400 has 168 divisors, whose sum is σ = 21727515600. Its totient is φ = 1569751040.

The previous prime is 6254558363. The next prime is 6254558411. The reversal of 6254558400 is 48554526.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43276 + ... + 119924.

It is an arithmetic number, because the mean of its divisors is an integer number (129330450).

Almost surely, 2^6254558400 is an apocalyptic number.

6254558400 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 6254558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863757800).

6254558400 is an abundant number, since it is smaller than the sum of its proper divisors (15472957200).

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

6254558400 is a wasteful number, since it uses less digits than its factorization.

6254558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76691 (or 76676 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 6254558400 is about 79085.7661023777. The cubic root of 6254558400 is about 1842.4634615373.

The spelling of 6254558400 in words is "six billion, two hundred fifty-four million, five hundred fifty-eight thousand, four hundred".