6477646824 has 192 divisors, whose sum is σ = 19539374400. Its totient is φ = 1922227200.

The previous prime is 6477646787. The next prime is 6477646843. The reversal of 6477646824 is 4286467746.

Its product of digits (10838016) is a multiple of the sum of its prime factors (896).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10464387 + ... + 10465005.

It is an arithmetic number, because the mean of its divisors is an integer number (101767575).

Almost surely, 2^6477646824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6477646824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769687200).

6477646824 is an abundant number, since it is smaller than the sum of its proper divisors (13061727576).

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

6477646824 is a wasteful number, since it uses less digits than its factorization.

6477646824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 889 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The square root of 6477646824 is about 80483.8295808543. The cubic root of 6477646824 is about 1864.1138014049.

The spelling of 6477646824 in words is "six billion, four hundred seventy-seven million, six hundred forty-six thousand, eight hundred twenty-four".