664799116800 has 2880 divisors, whose sum is σ = 3117904441344. Its totient is φ = 121031884800.

The previous prime is 664799116777. The next prime is 664799116837. The reversal of 664799116800 is 8611997466.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21445132785 + ... + 21445132815.

Almost surely, 2^664799116800 is an apocalyptic number.

664799116800 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 664799116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558952220672).

664799116800 is an abundant number, since it is smaller than the sum of its proper divisors (2453105324544).

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

664799116800 is a wasteful number, since it uses less digits than its factorization.

664799116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 664799116800 in words is "six hundred sixty-four billion, seven hundred ninety-nine million, one hundred sixteen thousand, eight hundred".