4777777888000 has 576 divisors, whose sum is σ = 13182939753984. Its totient is φ = 1714176000000.

The previous prime is 4777777887997. The next prime is 4777777888003. The reversal of 4777777888000 is 8887777774.

It is an interprime number because it is at equal distance from previous prime (4777777887997) and next prime (4777777888003).

It is not an unprimeable number, because it can be changed into a prime (4777777888003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6361887625 + ... + 6361888375.

It is an arithmetic number, because the mean of its divisors is an integer number (22887048184).

Almost surely, 2^{4777777888000} is an apocalyptic number.

4777777888000 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 4777777888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591469876992).

4777777888000 is an abundant number, since it is smaller than the sum of its proper divisors (8405161865984).

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

4777777888000 is a wasteful number, since it uses less digits than its factorization.

4777777888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 240945152, while the sum is 70.

The spelling of 4777777888000 in words is "four trillion, seven hundred seventy-seven billion, seven hundred seventy-seven million, eight hundred eighty-eight thousand".