4664665497600 has 1344 divisors, whose sum is σ = 18673474464000. Its totient is φ = 1137062707200.

The previous prime is 4664665497563. The next prime is 4664665497623. The reversal of 4664665497600 is 67945664664.

It is a happy number.

4664665497600 is a `hidden beast` number, since 4 + 66 + 466 + 5 + 49 + 76 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3046808835 + ... + 3046810365.

Almost surely, 2^{4664665497600} is an apocalyptic number.

4664665497600 is a gapful number since it is divisible by the number (40) 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 4664665497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336737232000).

4664665497600 is an abundant number, since it is smaller than the sum of its proper divisors (14008808966400).

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

4664665497600 is a wasteful number, since it uses less digits than its factorization.

4664665497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 4664665497600 in words is "four trillion, six hundred sixty-four billion, six hundred sixty-five million, four hundred ninety-seven thousand, six hundred".