4764788830800 has 240 divisors, whose sum is σ = 16961842200000. Its totient is φ = 1270406315520.

The previous prime is 4764788830751. The next prime is 4764788830873. The reversal of 4764788830800 is 80388874674.

4764788830800 is a `hidden beast` number, since 4 + 7 + 6 + 478 + 8 + 83 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74477226 + ... + 74541174.

It is an arithmetic number, because the mean of its divisors is an integer number (70674342500).

Almost surely, 2^{4764788830800} is an apocalyptic number.

4764788830800 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 4764788830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480921100000).

4764788830800 is an abundant number, since it is smaller than the sum of its proper divisors (12197053369200).

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

4764788830800 is a wasteful number, since it uses less digits than its factorization.

4764788830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70875 (or 70858 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 4764788830800 in words is "four trillion, seven hundred sixty-four billion, seven hundred eighty-eight million, eight hundred thirty thousand, eight hundred".