4729798656000 has 1440 divisors, whose sum is σ = 19317217748400. Its totient is φ = 1146617856000.

The previous prime is 4729798655909. The next prime is 4729798656007. The reversal of 4729798656000 is 6568979274.

4729798656000 is a `hidden beast` number, since 47 + 29 + 7 + 9 + 8 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4729798656007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 429981695995 + ... + 429981696005.

Almost surely, 2^{4729798656000} is an apocalyptic number.

4729798656000 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 4729798656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658608874200).

4729798656000 is an abundant number, since it is smaller than the sum of its proper divisors (14587419092400).

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

4729798656000 is an frugal number, since it uses more digits than its factorization.

4729798656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4729798656000 in words is "four trillion, seven hundred twenty-nine billion, seven hundred ninety-eight million, six hundred fifty-six thousand".