664474137600 has 1056 divisors, whose sum is σ = 2791019585536. Its totient is φ = 135630028800.

The previous prime is 664474137491. The next prime is 664474137653. The reversal of 664474137600 is 6731474466.

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 664474137600.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 216651267 + ... + 216654333.

Almost surely, 2^664474137600 is an apocalyptic number.

664474137600 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 664474137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395509792768).

664474137600 is an abundant number, since it is smaller than the sum of its proper divisors (2126545447936).

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

664474137600 is a wasteful number, since it uses less digits than its factorization.

664474137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 664474137600 in words is "six hundred sixty-four billion, four hundred seventy-four million, one hundred thirty-seven thousand, six hundred".