664601760 has 240 divisors, whose sum is σ = 2469852000. Its totient is φ = 167837184.

The previous prime is 664601737. The next prime is 664601801. The reversal of 664601760 is 67106466.

664601760 is a `hidden beast` number, since 6 + 646 + 0 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244891 + ... + 247589.

It is an arithmetic number, because the mean of its divisors is an integer number (10291050).

Almost surely, 2^664601760 is an apocalyptic number.

664601760 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 664601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234926000).

664601760 is an abundant number, since it is smaller than the sum of its proper divisors (1805250240).

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

664601760 is a wasteful number, since it uses less digits than its factorization.

664601760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 664601760 is about 25779.8712176768. The cubic root of 664601760 is about 872.6776008661.

The spelling of 664601760 in words is "six hundred sixty-four million, six hundred one thousand, seven hundred sixty".