6477799165800 has 576 divisors, whose sum is σ = 21624008832000. Its totient is φ = 1599682613760.

The previous prime is 6477799165787. The next prime is 6477799165807. The reversal of 6477799165800 is 85619977746.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6477799165807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9484332259 + ... + 9484332941.

It is an arithmetic number, because the mean of its divisors is an integer number (37541682000).

Almost surely, 2^{6477799165800} is an apocalyptic number.

6477799165800 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 6477799165800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812004416000).

6477799165800 is an abundant number, since it is smaller than the sum of its proper divisors (15146209666200).

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

6477799165800 is a wasteful number, since it uses less digits than its factorization.

6477799165800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 69.

The spelling of 6477799165800 in words is "six trillion, four hundred seventy-seven billion, seven hundred ninety-nine million, one hundred sixty-five thousand, eight hundred".