6412876800 has 264 divisors, whose sum is σ = 23124746112. Its totient is φ = 1554432000.

The previous prime is 6412876777. The next prime is 6412876817. The reversal of 6412876800 is 86782146.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×6412876800² = 82249977703956480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841005 + ... + 848595.

Almost surely, 2^6412876800 is an apocalyptic number.

6412876800 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 6412876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562373056).

6412876800 is an abundant number, since it is smaller than the sum of its proper divisors (16711869312).

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

6412876800 is a wasteful number, since it uses less digits than its factorization.

6412876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 6412876800 is about 80080.4395592332. The cubic root of 6412876800 is about 1857.8798828386.

The spelling of 6412876800 in words is "six billion, four hundred twelve million, eight hundred seventy-six thousand, eight hundred".