664676628480 has 576 divisors, whose sum is σ = 2347586841600. Its totient is φ = 173903708160.

The previous prime is 664676628463. The next prime is 664676628487. The reversal of 664676628480 is 84826676466.

664676628480 is a `hidden beast` number, since 6 + 64 + 6 + 76 + 6 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×664676628480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664676628487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275770620 + ... + 1275771140.

It is an arithmetic number, because the mean of its divisors is an integer number (4075671600).

Almost surely, 2^664676628480 is an apocalyptic number.

664676628480 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 664676628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173793420800).

664676628480 is an abundant number, since it is smaller than the sum of its proper divisors (1682910213120).

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

664676628480 is a wasteful number, since it uses less digits than its factorization.

664676628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 664676628480 in words is "six hundred sixty-four billion, six hundred seventy-six million, six hundred twenty-eight thousand, four hundred eighty".