6467788800 has 756 divisors, whose sum is σ = 26343372510. Its totient is φ = 1513881600.

The previous prime is 6467788793. The next prime is 6467788837. The reversal of 6467788800 is 88877646.

It can be written as a sum of positive squares in 3 ways, for example, as 4857532416 + 1610256384 = 69696^2 + 40128^2 .

It is a super-2 number, since 2×6467788800² = 83664583922810880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 223027186 + ... + 223027214.

Almost surely, 2^6467788800 is an apocalyptic number.

6467788800 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 6467788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171686255).

6467788800 is an abundant number, since it is smaller than the sum of its proper divisors (19875583710).

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

6467788800 is a wasteful number, since it uses less digits than its factorization.

6467788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 6467788800 is about 80422.5639979229. The cubic root of 6467788800 is about 1863.1676857819.

The spelling of 6467788800 in words is "six billion, four hundred sixty-seven million, seven hundred eighty-eight thousand, eight hundred".