4656666913200 has 360 divisors, whose sum is σ = 16514726571200. Its totient is φ = 1214802800640.

The previous prime is 4656666913169. The next prime is 4656666913219. The reversal of 4656666913200 is 23196666564.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30924492 + ... + 31074708.

Almost surely, 2^{4656666913200} is an apocalyptic number.

4656666913200 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 4656666913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257363285600).

4656666913200 is an abundant number, since it is smaller than the sum of its proper divisors (11858059658000).

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

4656666913200 is a wasteful number, since it uses less digits than its factorization.

4656666913200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150429 (or 150415 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 4656666913200 in words is "four trillion, six hundred fifty-six billion, six hundred sixty-six million, nine hundred thirteen thousand, two hundred".