4877667784 has 64 divisors (see below), whose sum is σ = 10174507200. Its totient is φ = 2191784320.

The previous prime is 4877667779. The next prime is 4877667797.

4877667784 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4877667784² = 47583286022142941312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945099 + ... + 950245.

It is an arithmetic number, because the mean of its divisors is an integer number (158976675).

Almost surely, 2^4877667784 is an apocalyptic number.

4877667784 is a gapful number since it is divisible by the number (44) 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 4877667784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087253600).

4877667784 is an abundant number, since it is smaller than the sum of its proper divisors (5296839416).

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

4877667784 is a wasteful number, since it uses less digits than its factorization.

4877667784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5249 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 64.

The square root of 4877667784 is about 69840.3020039289. The cubic root of 4877667784 is about 1695.9149649204.

The spelling of 4877667784 in words is "four billion, eight hundred seventy-seven million, six hundred sixty-seven thousand, seven hundred eighty-four".