6496166880 has 576 divisors, whose sum is σ = 27002626560. Its totient is φ = 1389146112.

The previous prime is 6496166869. The next prime is 6496166909. The reversal of 6496166880 is 886616946.

6496166880 is a `hidden beast` number, since 6 + 496 + 16 + 68 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20492482 + ... + 20492798.

It is an arithmetic number, because the mean of its divisors is an integer number (46879560).

Almost surely, 2^6496166880 is an apocalyptic number.

6496166880 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 6496166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501313280).

6496166880 is an abundant number, since it is smaller than the sum of its proper divisors (20506459680).

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

6496166880 is a wasteful number, since it uses less digits than its factorization.

6496166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6496166880 is about 80598.8019762081. The cubic root of 6496166880 is about 1865.8886559355. Note that the first 3 decimals are identical.

It can be divided in two parts, 64961 and 66880, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 6496166880 in words is "six billion, four hundred ninety-six million, one hundred sixty-six thousand, eight hundred eighty".