664744010112 has 1152 divisors, whose sum is σ = 2548020384000. Its totient is φ = 164894994432.

The previous prime is 664744010107. The next prime is 664744010113. The reversal of 664744010112 is 211010447466.

It is a happy number.

664744010112 is a `hidden beast` number, since 6 + 647 + 4 + 4 + 0 + 1 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664744010113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4782330939 + ... + 4782331077.

It is an arithmetic number, because the mean of its divisors is an integer number (2211823250).

Almost surely, 2^664744010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664744010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274010192000).

664744010112 is an abundant number, since it is smaller than the sum of its proper divisors (1883276373888).

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

664744010112 is a wasteful number, since it uses less digits than its factorization.

664744010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 664744010112 its reverse (211010447466), we get a palindrome (875754457578).

The spelling of 664744010112 in words is "six hundred sixty-four billion, seven hundred forty-four million, ten thousand, one hundred twelve".