6546432960 has 560 divisors, whose sum is σ = 24783897600. Its totient is φ = 1636816896.

The previous prime is 6546432931. The next prime is 6546432979. The reversal of 6546432960 is 692346456.

6546432960 is a `hidden beast` number, since 6 + 546 + 43 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 47096571 + ... + 47096709.

It is an arithmetic number, because the mean of its divisors is an integer number (44256960).

Almost surely, 2^6546432960 is an apocalyptic number.

6546432960 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 6546432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391948800).

6546432960 is an abundant number, since it is smaller than the sum of its proper divisors (18237464640).

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

6546432960 is a wasteful number, since it uses less digits than its factorization.

6546432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6546432960 is about 80910.0300333648. The cubic root of 6546432960 is about 1870.6889241971.

The spelling of 6546432960 in words is "six billion, five hundred forty-six million, four hundred thirty-two thousand, nine hundred sixty".