664474084560 has 2400 divisors, whose sum is σ = 2977014458880. Its totient is φ = 135981711360.

The previous prime is 664474084531. The next prime is 664474084567. The reversal of 664474084560 is 65480474466.

It is a happy number.

664474084560 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 74 + 0 + 8 + 4 + 560 = 666.

It is a super-3 number, since 3×664474084560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 664474084497 and 664474084506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664474084567) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9102384684 + ... + 9102384756.

Almost surely, 2^664474084560 is an apocalyptic number.

664474084560 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 664474084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488507229440).

664474084560 is an abundant number, since it is smaller than the sum of its proper divisors (2312540374320).

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

664474084560 is a wasteful number, since it uses less digits than its factorization.

664474084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 664474084560 in words is "six hundred sixty-four billion, four hundred seventy-four million, eighty-four thousand, five hundred sixty".