664729678800 has 180 divisors, whose sum is σ = 2516505567264. Its totient is φ = 161146579200.

The previous prime is 664729678747. The next prime is 664729678801. The reversal of 664729678800 is 8876927466.

664729678800 is a `hidden beast` number, since 6 + 6 + 472 + 96 + 78 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664729678801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8353452 + ... + 8432651.

Almost surely, 2^664729678800 is an apocalyptic number.

664729678800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664729678800 is an abundant number, since it is smaller than the sum of its proper divisors (1851775888464).

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

664729678800 is a wasteful number, since it uses less digits than its factorization.

664729678800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16786138 (or 16786124 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 664729678800 in words is "six hundred sixty-four billion, seven hundred twenty-nine million, six hundred seventy-eight thousand, eight hundred".