4820727768000 has 448 divisors, whose sum is σ = 16487185029120. Its totient is φ = 1239673344000.

The previous prime is 4820727767951. The next prime is 4820727768083. The reversal of 4820727768000 is 8677270284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634052199 + ... + 634059801.

Almost surely, 2^{4820727768000} is an apocalyptic number.

4820727768000 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 4820727768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243592514560).

4820727768000 is an abundant number, since it is smaller than the sum of its proper divisors (11666457261120).

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

4820727768000 is a wasteful number, since it uses less digits than its factorization.

4820727768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 4820727768000 in words is "four trillion, eight hundred twenty billion, seven hundred twenty-seven million, seven hundred sixty-eight thousand".