664769700 has 288 divisors, whose sum is σ = 2587334400. Its totient is φ = 142940160.

The previous prime is 664769669. The next prime is 664769767. The reversal of 664769700 is 7967466.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320266 + ... + 322334.

It is an arithmetic number, because the mean of its divisors is an integer number (8983800).

Almost surely, 2^664769700 is an apocalyptic number.

664769700 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 664769700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293667200).

664769700 is an abundant number, since it is smaller than the sum of its proper divisors (1922564700).

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

664769700 is a wasteful number, since it uses less digits than its factorization.

664769700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 664769700 is about 25783.1282043122. The cubic root of 664769700 is about 872.7511010895.

It can be divided in two parts, 66476 and 9700, that added together give a square (76176 = 276²).

The spelling of 664769700 in words is "six hundred sixty-four million, seven hundred sixty-nine thousand, seven hundred".