4778900380800 has 2304 divisors, whose sum is σ = 22624701926400. Its totient is φ = 975421440000.

The previous prime is 4778900380783. The next prime is 4778900380817. The reversal of 4778900380800 is 80830098774.

4778900380800 is a `hidden beast` number, since 477 + 8 + 90 + 0 + 3 + 8 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4778900380783) and next prime (4778900380817).

It is a super-2 number, since 2×4778900380800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1706139400 + ... + 1706142200.

It is an arithmetic number, because the mean of its divisors is an integer number (9819749100).

Almost surely, 2^{4778900380800} is an apocalyptic number.

4778900380800 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 4778900380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11312350963200).

4778900380800 is an abundant number, since it is smaller than the sum of its proper divisors (17845801545600).

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

4778900380800 is a wasteful number, since it uses less digits than its factorization.

4778900380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4778900380800 in words is "four trillion, seven hundred seventy-eight billion, nine hundred million, three hundred eighty thousand, eight hundred".