6496543872 has 576 divisors, whose sum is σ = 24258333600. Its totient is φ = 1705826304.

The previous prime is 6496543843. The next prime is 6496543901. The reversal of 6496543872 is 2783456946.

6496543872 is a `hidden beast` number, since 6 + 4 + 96 + 543 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6496543843) and next prime (6496543901).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28619023 + ... + 28619249.

Almost surely, 2^6496543872 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 6496543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129166800).

6496543872 is an abundant number, since it is smaller than the sum of its proper divisors (17761789728).

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

6496543872 is a wasteful number, since it uses less digits than its factorization.

6496543872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 252 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 6496543872 is about 80601.1406370902. The cubic root of 6496543872 is about 1865.9247496044.

The spelling of 6496543872 in words is "six billion, four hundred ninety-six million, five hundred forty-three thousand, eight hundred seventy-two".