4858456680 has 512 divisors, whose sum is σ = 20749824000. Its totient is φ = 981642240.

The previous prime is 4858456667. The next prime is 4858456703. The reversal of 4858456680 is 866548584.

4858456680 is a `hidden beast` number, since 4 + 8 + 584 + 56 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×4858456680² = 47209202622873244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3076131 + ... + 3077709.

It is an arithmetic number, because the mean of its divisors is an integer number (40527000).

Almost surely, 2^4858456680 is an apocalyptic number.

4858456680 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 4858456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374912000).

4858456680 is an abundant number, since it is smaller than the sum of its proper divisors (15891367320).

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

4858456680 is a wasteful number, since it uses less digits than its factorization.

4858456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 4858456680 is about 69702.6303664360. The cubic root of 4858456680 is about 1693.6855342720.

The spelling of 4858456680 in words is "four billion, eight hundred fifty-eight million, four hundred fifty-six thousand, six hundred eighty".