4784622796800 has 2592 divisors, whose sum is σ = 22311934444800. Its totient is φ = 971086233600.

The previous prime is 4784622796729. The next prime is 4784622796817. The reversal of 4784622796800 is 86972264874.

4784622796800 is a `hidden beast` number, since 4 + 7 + 8 + 462 + 2 + 7 + 96 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111270297579 + ... + 111270297621.

It is an arithmetic number, because the mean of its divisors is an integer number (8607999400).

Almost surely, 2^{4784622796800} is an apocalyptic number.

4784622796800 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 4784622796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155967222400).

4784622796800 is an abundant number, since it is smaller than the sum of its proper divisors (17527311648000).

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

4784622796800 is an equidigital number, since it uses as much as digits as its factorization.

4784622796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4784622796800 in words is "four trillion, seven hundred eighty-four billion, six hundred twenty-two million, seven hundred ninety-six thousand, eight hundred".