4966629696000 has 3200 divisors, whose sum is σ = 22890403920384. Its totient is φ = 1044696268800.

The previous prime is 4966629695977. The next prime is 4966629696047. The reversal of 4966629696000 is 6969266694.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51202367952 + ... + 51202368048.

Almost surely, 2^{4966629696000} is an apocalyptic number.

4966629696000 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 4966629696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445201960192).

4966629696000 is an abundant number, since it is smaller than the sum of its proper divisors (17923774224384).

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

4966629696000 is an equidigital number, since it uses as much as digits as its factorization.

4966629696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 4966629696000 in words is "four trillion, nine hundred sixty-six billion, six hundred twenty-nine million, six hundred ninety-six thousand".