664207441920 has 360 divisors, whose sum is σ = 2511865792800. Its totient is φ = 161018019840.

The previous prime is 664207441901. The next prime is 664207441987. The reversal of 664207441920 is 29144702466.

664207441920 is a `hidden beast` number, since 6 + 6 + 4 + 207 + 4 + 419 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8069131 + ... + 8151029.

It is an arithmetic number, because the mean of its divisors is an integer number (6977404980).

Almost surely, 2^664207441920 is an apocalyptic number.

664207441920 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 664207441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255932896400).

664207441920 is an abundant number, since it is smaller than the sum of its proper divisors (1847658350880).

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

664207441920 is a wasteful number, since it uses less digits than its factorization.

664207441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81949 (or 81920 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 664207441920 in words is "six hundred sixty-four billion, two hundred seven million, four hundred forty-one thousand, nine hundred twenty".