664371227520 has 3840 divisors, whose sum is σ = 3403785369600. Its totient is φ = 121230950400.

The previous prime is 664371227491. The next prime is 664371227563. The reversal of 664371227520 is 25722173466.

664371227520 is a `hidden beast` number, since 6 + 6 + 4 + 371 + 2 + 275 + 2 + 0 = 666.

664371227520 is digitally balanced in base 2, because in such base 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11260529251 + ... + 11260529309.

It is an arithmetic number, because the mean of its divisors is an integer number (886402440).

Almost surely, 2^664371227520 is an apocalyptic number.

664371227520 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 664371227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701892684800).

664371227520 is an abundant number, since it is smaller than the sum of its proper divisors (2739414142080).

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

664371227520 is a wasteful number, since it uses less digits than its factorization.

664371227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 664371227520 in words is "six hundred sixty-four billion, three hundred seventy-one million, two hundred twenty-seven thousand, five hundred twenty".