4664321280 has 432 divisors, whose sum is σ = 17620424640. Its totient is φ = 1168146432.

The previous prime is 4664321273. The next prime is 4664321323. The reversal of 4664321280 is 821234664.

4664321280 is a `hidden beast` number, since 4 + 6 + 643 + 2 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9987607 + ... + 9988073.

It is an arithmetic number, because the mean of its divisors is an integer number (40788020).

Almost surely, 2^4664321280 is an apocalyptic number.

4664321280 is a gapful number since it is divisible by the number (40) 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 4664321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810212320).

4664321280 is an abundant number, since it is smaller than the sum of its proper divisors (12956103360).

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

4664321280 is a wasteful number, since it uses less digits than its factorization.

4664321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4664321280 is about 68295.8364763182. The cubic root of 4664321280 is about 1670.8193094526.

The spelling of 4664321280 in words is "four billion, six hundred sixty-four million, three hundred twenty-one thousand, two hundred eighty".