664829760 has 448 divisors, whose sum is σ = 2621767680. Its totient is φ = 139345920.

The previous prime is 664829749. The next prime is 664829771. The reversal of 664829760 is 67928466.

It is an interprime number because it is at equal distance from previous prime (664829749) and next prime (664829771).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5234817 + ... + 5234943.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^664829760 is an apocalyptic number.

664829760 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 664829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310883840).

664829760 is an abundant number, since it is smaller than the sum of its proper divisors (1956937920).

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

664829760 is a wasteful number, since it uses less digits than its factorization.

664829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 664829760 is about 25784.2928931549. The cubic root of 664829760 is about 872.7773838019. Note that the first 3 decimals are identical.

The spelling of 664829760 in words is "six hundred sixty-four million, eight hundred twenty-nine thousand, seven hundred sixty".