4677865920 has 504 divisors, whose sum is σ = 19926275616. Its totient is φ = 986259456.

The previous prime is 4677865919. The next prime is 4677865921. The reversal of 4677865920 is 295687764.

4677865920 is a `hidden beast` number, since 46 + 7 + 7 + 8 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4677865919) and next prime (4677865921).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677865921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3406354 + ... + 3407726.

Almost surely, 2^4677865920 is an apocalyptic number.

4677865920 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 4677865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963137808).

4677865920 is an abundant number, since it is smaller than the sum of its proper divisors (15248409696).

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

4677865920 is a wasteful number, since it uses less digits than its factorization.

4677865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4677865920 is about 68394.9261276010. The cubic root of 4677865920 is about 1672.4350340414.

The spelling of 4677865920 in words is "four billion, six hundred seventy-seven million, eight hundred sixty-five thousand, nine hundred twenty".