6477256468800 has 1008 divisors, whose sum is σ = 27632875757760. Its totient is φ = 1421620346880.

The previous prime is 6477256468799. The next prime is 6477256468847. The reversal of 6477256468800 is 88646527746.

6477256468800 is a `hidden beast` number, since 6 + 4 + 7 + 7 + 2 + 564 + 68 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×6477256468800² (a number of 26 digits) 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 143 ways as a sum of consecutive naturals, for example, 60412039 + ... + 60519161.

It is an arithmetic number, because the mean of its divisors is an integer number (27413567220).

Almost surely, 2^{6477256468800} is an apocalyptic number.

6477256468800 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 6477256468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816437878880).

6477256468800 is an abundant number, since it is smaller than the sum of its proper divisors (21155619288960).

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

6477256468800 is a wasteful number, since it uses less digits than its factorization.

6477256468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107200 (or 107182 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 6477256468800 in words is "six trillion, four hundred seventy-seven billion, two hundred fifty-six million, four hundred sixty-eight thousand, eight hundred".