664516390800 has 240 divisors, whose sum is σ = 2146325876352. Its totient is φ = 175738368000.

The previous prime is 664516390763. The next prime is 664516390807. The reversal of 664516390800 is 8093615466.

It is a tau number, because it is divible by the number of its divisors (240).

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 664516390800.

It is not an unprimeable number, because it can be changed into a prime (664516390807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122669692 + ... + 122675108.

Almost surely, 2^664516390800 is an apocalyptic number.

664516390800 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 664516390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073162938176).

664516390800 is an abundant number, since it is smaller than the sum of its proper divisors (1481809485552).

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

664516390800 is a wasteful number, since it uses less digits than its factorization.

664516390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 664516390800 in words is "six hundred sixty-four billion, five hundred sixteen million, three hundred ninety thousand, eight hundred".