664490085600 has 432 divisors, whose sum is σ = 2502567325440. Its totient is φ = 152608896000.

The previous prime is 664490085599. The next prime is 664490085613. The reversal of 664490085600 is 6580094466.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 664490085600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5457385 + ... + 5577815.

It is an arithmetic number, because the mean of its divisors is an integer number (5792979920).

Almost surely, 2^664490085600 is an apocalyptic number.

664490085600 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 664490085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251283662720).

664490085600 is an abundant number, since it is smaller than the sum of its proper divisors (1838077239840).

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

664490085600 is a wasteful number, since it uses less digits than its factorization.

664490085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120495 (or 120471 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 664490085600 in words is "six hundred sixty-four billion, four hundred ninety million, eighty-five thousand, six hundred".