4777816000 has 336 divisors, whose sum is σ = 13501481760. Its totient is φ = 1664409600.

The previous prime is 4777815919. The next prime is 4777816027. The reversal of 4777816000 is 6187774.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 111111979 + ... + 111112021.

Almost surely, 2^4777816000 is an apocalyptic number.

4777816000 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 4777816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750740880).

4777816000 is an abundant number, since it is smaller than the sum of its proper divisors (8723665760).

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

4777816000 is a wasteful number, since it uses less digits than its factorization.

4777816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 4777816000 is about 69121.7476630908. The cubic root of 4777816000 is about 1684.2626070792.

The spelling of 4777816000 in words is "four billion, seven hundred seventy-seven million, eight hundred sixteen thousand".