4877001360 has 960 divisors, whose sum is σ = 21984307200. Its totient is φ = 982195200.

The previous prime is 4877001347. The next prime is 4877001401. The reversal of 4877001360 is 631007784.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68690125 + ... + 68690195.

It is an arithmetic number, because the mean of its divisors is an integer number (22900320).

Almost surely, 2^4877001360 is an apocalyptic number.

4877001360 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 4877001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992153600).

4877001360 is an abundant number, since it is smaller than the sum of its proper divisors (17107305840).

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

4877001360 is a wasteful number, since it uses less digits than its factorization.

4877001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4877001360 is about 69835.5307848376. The cubic root of 4877001360 is about 1695.8377251438.

The spelling of 4877001360 in words is "four billion, eight hundred seventy-seven million, one thousand, three hundred sixty".