6466326720 has 672 divisors, whose sum is σ = 26213580288. Its totient is φ = 1318158336.

The previous prime is 6466326709. The next prime is 6466326721. The reversal of 6466326720 is 276236646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6466326721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60432907 + ... + 60433013.

It is an arithmetic number, because the mean of its divisors is an integer number (39008304).

Almost surely, 2^6466326720 is an apocalyptic number.

6466326720 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 6466326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106790144).

6466326720 is an abundant number, since it is smaller than the sum of its proper divisors (19747253568).

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

6466326720 is a wasteful number, since it uses less digits than its factorization.

6466326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 6466326720 is about 80413.4734979158. The cubic root of 6466326720 is about 1863.0272820269.

The spelling of 6466326720 in words is "six billion, four hundred sixty-six million, three hundred twenty-six thousand, seven hundred twenty".