6475852800 has 462 divisors, whose sum is σ = 24136758348. Its totient is φ = 1721917440.

The previous prime is 6475852759. The next prime is 6475852807. The reversal of 6475852800 is 82585746.

6475852800 is a `hidden beast` number, since 6 + 47 + 585 + 28 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6475852807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662227 + ... + 18662573.

Almost surely, 2^6475852800 is an apocalyptic number.

6475852800 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 6475852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068379174).

6475852800 is an abundant number, since it is smaller than the sum of its proper divisors (17660905548).

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

6475852800 is an equidigital number, since it uses as much as digits as its factorization.

6475852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6475852800 is about 80472.6835640517. The cubic root of 6475852800 is about 1863.9416929332.

The spelling of 6475852800 in words is "six billion, four hundred seventy-five million, eight hundred fifty-two thousand, eight hundred".