664377897600 has 768 divisors, whose sum is σ = 2588539680000. Its totient is φ = 165834915840.

The previous prime is 664377897593. The next prime is 664377897619. The reversal of 664377897600 is 6798773466.

664377897600 is a `hidden beast` number, since 66 + 437 + 7 + 89 + 7 + 60 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292290064 + ... + 292292336.

It is an arithmetic number, because the mean of its divisors is an integer number (3370494375).

Almost surely, 2^664377897600 is an apocalyptic number.

664377897600 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 664377897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294269840000).

664377897600 is an abundant number, since it is smaller than the sum of its proper divisors (1924161782400).

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

664377897600 is a wasteful number, since it uses less digits than its factorization.

664377897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 664377897600 in words is "six hundred sixty-four billion, three hundred seventy-seven million, eight hundred ninety-seven thousand, six hundred".