6546964320 has 288 divisors, whose sum is σ = 24953134752. Its totient is φ = 1611436032.

The previous prime is 6546964243. The next prime is 6546964351. The reversal of 6546964320 is 234696456.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498964 + ... + 511916.

It is an arithmetic number, because the mean of its divisors is an integer number (86642829).

Almost surely, 2^6546964320 is an apocalyptic number.

6546964320 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 6546964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476567376).

6546964320 is an abundant number, since it is smaller than the sum of its proper divisors (18406170432).

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

6546964320 is a wasteful number, since it uses less digits than its factorization.

6546964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12976 counting only the distinct ones).

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

The square root of 6546964320 is about 80913.3136140153. The cubic root of 6546964320 is about 1870.7395361044.

The spelling of 6546964320 in words is "six billion, five hundred forty-six million, nine hundred sixty-four thousand, three hundred twenty".