4731664896000 has 1456 divisors, whose sum is σ = 20245563381888. Its totient is φ = 1080926208000.

The previous prime is 4731664895953. The next prime is 4731664896019. The reversal of 4731664896000 is 6984661374.

4731664896000 is a `hidden beast` number, since 47 + 3 + 1 + 66 + 489 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2612735095 + ... + 2612736905.

Almost surely, 2^{4731664896000} is an apocalyptic number.

4731664896000 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 4731664896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10122781690944).

4731664896000 is an abundant number, since it is smaller than the sum of its proper divisors (15513898485888).

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

4731664896000 is an frugal number, since it uses more digits than its factorization.

4731664896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4731664896000 in words is "four trillion, seven hundred thirty-one billion, six hundred sixty-four million, eight hundred ninety-six thousand".