4727829580800 has 528 divisors, whose sum is σ = 16565329027872. Its totient is φ = 1185126809600.

The previous prime is 4727829580741. The next prime is 4727829580801. The reversal of 4727829580800 is 80859287274.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4727829580801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385239894 + ... + 1385243306.

Almost surely, 2^{4727829580800} is an apocalyptic number.

4727829580800 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 4727829580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282664513936).

4727829580800 is an abundant number, since it is smaller than the sum of its proper divisors (11837499447072).

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

4727829580800 is a wasteful number, since it uses less digits than its factorization.

4727829580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 4727829580800 in words is "four trillion, seven hundred twenty-seven billion, eight hundred twenty-nine million, five hundred eighty thousand, eight hundred".