664384854000 has 960 divisors, whose sum is σ = 2711106478080. Its totient is φ = 136634572800.

The previous prime is 664384853987. The next prime is 664384854031. The reversal of 664384854000 is 458483466.

664384854000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 377705121 + ... + 377706879.

It is an arithmetic number, because the mean of its divisors is an integer number (2824069248).

Almost surely, 2^664384854000 is an apocalyptic number.

664384854000 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 664384854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355553239040).

664384854000 is an abundant number, since it is smaller than the sum of its proper divisors (2046721624080).

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

664384854000 is a wasteful number, since it uses less digits than its factorization.

664384854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 664384854000 in words is "six hundred sixty-four billion, three hundred eighty-four million, eight hundred fifty-four thousand".