6275404800 has 528 divisors, whose sum is σ = 26357499520. Its totient is φ = 1433272320.

The previous prime is 6275404799. The next prime is 6275404813. The reversal of 6275404800 is 84045726.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 4837752 + ... + 4839048.

Almost surely, 2^6275404800 is an apocalyptic number.

6275404800 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 6275404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178749760).

6275404800 is an abundant number, since it is smaller than the sum of its proper divisors (20082094720).

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

6275404800 is a wasteful number, since it uses less digits than its factorization.

6275404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6275404800 is about 79217.4526225124. The cubic root of 6275404800 is about 1844.5081642261.

The spelling of 6275404800 in words is "six billion, two hundred seventy-five million, four hundred four thousand, eight hundred".