6259478400 has 576 divisors, whose sum is σ = 25995434400. Its totient is φ = 1404518400.

The previous prime is 6259478383. The next prime is 6259478419. The reversal of 6259478400 is 48749526.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12297346 + ... + 12297854.

Almost surely, 2^6259478400 is an apocalyptic number.

6259478400 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 6259478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997717200).

6259478400 is an abundant number, since it is smaller than the sum of its proper divisors (19735956000).

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

6259478400 is a wasteful number, since it uses less digits than its factorization.

6259478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6259478400 is about 79116.8654586366. The cubic root of 6259478400 is about 1842.9464449758.

The spelling of 6259478400 in words is "six billion, two hundred fifty-nine million, four hundred seventy-eight thousand, four hundred".