664754580 has 384 divisors, whose sum is σ = 2502528000. Its totient is φ = 146313216.

The previous prime is 664754569. The next prime is 664754581. The reversal of 664754580 is 85457466.

664754580 is a `hidden beast` number, since 6 + 64 + 7 + 5 + 4 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664754581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6853092 + ... + 6853188.

It is an arithmetic number, because the mean of its divisors is an integer number (6517000).

Almost surely, 2^664754580 is an apocalyptic number.

664754580 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 664754580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251264000).

664754580 is an abundant number, since it is smaller than the sum of its proper divisors (1837773420).

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

664754580 is a wasteful number, since it uses less digits than its factorization.

664754580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 664754580 is about 25782.8349876425. The cubic root of 664754580 is about 872.7444842131.

The spelling of 664754580 in words is "six hundred sixty-four million, seven hundred fifty-four thousand, five hundred eighty".