4586964480 has 720 divisors, whose sum is σ = 19648474560. Its totient is φ = 982646784.

The previous prime is 4586964469. The next prime is 4586964491. The reversal of 4586964480 is 844696854.

4586964480 is a `hidden beast` number, since 45 + 8 + 69 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4586964469) and next prime (4586964491).

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 19192201 + ... + 19192439.

It is an arithmetic number, because the mean of its divisors is an integer number (27289548).

Almost surely, 2^4586964480 is an apocalyptic number.

4586964480 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 4586964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824237280).

4586964480 is an abundant number, since it is smaller than the sum of its proper divisors (15061510080).

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

4586964480 is a wasteful number, since it uses less digits than its factorization.

4586964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4586964480 is about 67727.1325245651. The cubic root of 4586964480 is about 1661.5310401694.

The spelling of 4586964480 in words is "four billion, five hundred eighty-six million, nine hundred sixty-four thousand, four hundred eighty".