4680834480 has 400 divisors, whose sum is σ = 19088688960. Its totient is φ = 1040615424.

The previous prime is 4680834479. The next prime is 4680834497. The reversal of 4680834480 is 844380864.

It is a super-2 number, since 2×4680834480² = 43820422858313740800, 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 79 ways as a sum of consecutive naturals, for example, 1676926 + ... + 1679714.

Almost surely, 2^4680834480 is an apocalyptic number.

4680834480 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 4680834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544344480).

4680834480 is an abundant number, since it is smaller than the sum of its proper divisors (14407854480).

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

4680834480 is a wasteful number, since it uses less digits than its factorization.

4680834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4680834480 is about 68416.6242955614. The cubic root of 4680834480 is about 1672.7887333564.

It can be divided in two parts, 4680 and 834480, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 4680834480 in words is "four billion, six hundred eighty million, eight hundred thirty-four thousand, four hundred eighty".