664735458672 has 240 divisors, whose sum is σ = 1992393312000. Its totient is φ = 206429368320.

The previous prime is 664735458619. The next prime is 664735458677. The reversal of 664735458672 is 276854537466.

It is a happy number.

664735458672 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 3 + 545 + 86 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664735458677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45172788 + ... + 45187500.

It is an arithmetic number, because the mean of its divisors is an integer number (8301638800).

Almost surely, 2^664735458672 is an apocalyptic number.

664735458672 is a gapful number since it is divisible by the number (62) 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 664735458672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996196656000).

664735458672 is an abundant number, since it is smaller than the sum of its proper divisors (1327657853328).

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

664735458672 is a wasteful number, since it uses less digits than its factorization.

664735458672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15136 (or 15127 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 664735458672 in words is "six hundred sixty-four billion, seven hundred thirty-five million, four hundred fifty-eight thousand, six hundred seventy-two".