4676803920 has 200 divisors, whose sum is σ = 16350248904. Its totient is φ = 1238934528.

The previous prime is 4676803919. The next prime is 4676803973. The reversal of 4676803920 is 293086764.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 4668715584 = 2844^2 + 68328^2 .

It is a super-2 number, since 2×4676803920² = 43744989812254732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1015062 + ... + 1019658.

Almost surely, 2^4676803920 is an apocalyptic number.

4676803920 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 4676803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175124452).

4676803920 is an abundant number, since it is smaller than the sum of its proper divisors (11673444984).

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

4676803920 is a wasteful number, since it uses less digits than its factorization.

4676803920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4676803920 is about 68387.1619531034. The cubic root of 4676803920 is about 1672.3084620487.

The spelling of 4676803920 in words is "four billion, six hundred seventy-six million, eight hundred three thousand, nine hundred twenty".