664547040 has 288 divisors, whose sum is σ = 2420046720. Its totient is φ = 165583872.

The previous prime is 664547029. The next prime is 664547063. The reversal of 664547040 is 40745466.

664547040 is a `hidden beast` number, since 6 + 645 + 4 + 7 + 0 + 4 + 0 = 666.

664547040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 664546986 and 664547004.

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, 2927407 + ... + 2927633.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^664547040 is an apocalyptic number.

664547040 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 664547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210023360).

664547040 is an abundant number, since it is smaller than the sum of its proper divisors (1755499680).

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

664547040 is a wasteful number, since it uses less digits than its factorization.

664547040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 664547040 is about 25778.8099027089. The cubic root of 664547040 is about 872.6536495658.

The spelling of 664547040 in words is "six hundred sixty-four million, five hundred forty-seven thousand, forty".