664799477760 has 1428 divisors, whose sum is σ = 2743727068656. Its totient is φ = 154156400640.

The previous prime is 664799477759. The next prime is 664799477779. The reversal of 664799477760 is 67774997466.

664799477760 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 99 + 477 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 28904325109 + ... + 28904325131.

Almost surely, 2^664799477760 is an apocalyptic number.

664799477760 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 664799477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371863534328).

664799477760 is an abundant number, since it is smaller than the sum of its proper divisors (2078927590896).

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

664799477760 is an frugal number, since it uses more digits than its factorization.

664799477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 664799477760 in words is "six hundred sixty-four billion, seven hundred ninety-nine million, four hundred seventy-seven thousand, seven hundred sixty".