4591664640 has 480 divisors, whose sum is σ = 17752569120. Its totient is φ = 1089994752.

The previous prime is 4591664633. The next prime is 4591664669. The reversal of 4591664640 is 464661954.

It is a happy number.

4591664640 is a `hidden beast` number, since 45 + 91 + 66 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7441612 + ... + 7442228.

It is an arithmetic number, because the mean of its divisors is an integer number (36984519).

Almost surely, 2^4591664640 is an apocalyptic number.

4591664640 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 4591664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876284560).

4591664640 is an abundant number, since it is smaller than the sum of its proper divisors (13160904480).

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

4591664640 is a wasteful number, since it uses less digits than its factorization.

4591664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4591664640 is about 67761.8228798488. The cubic root of 4591664640 is about 1662.0983576835.

The spelling of 4591664640 in words is "four billion, five hundred ninety-one million, six hundred sixty-four thousand, six hundred forty".