4770000144 has 320 divisors, whose sum is σ = 17112238080. Its totient is φ = 1238561280.

The previous prime is 4770000119. The next prime is 4770000181. The reversal of 4770000144 is 4410000774.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2632999 + ... + 2634809.

It is an arithmetic number, because the mean of its divisors is an integer number (53475744).

Almost surely, 2^4770000144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4770000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556119040).

4770000144 is an abundant number, since it is smaller than the sum of its proper divisors (12342237936).

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

4770000144 is a wasteful number, since it uses less digits than its factorization.

4770000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4770000144 is about 69065.1876418214. The cubic root of 4770000144 is about 1683.3436977784.

The spelling of 4770000144 in words is "four billion, seven hundred seventy million, one hundred forty-four", and thus it is an aban number.