4608976680 has 512 divisors, whose sum is σ = 20169216000. Its totient is φ = 906992640.

The previous prime is 4608976679. The next prime is 4608976681. The reversal of 4608976680 is 866798064.

It is an interprime number because it is at equal distance from previous prime (4608976679) and next prime (4608976681).

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

It is not an unprimeable number, because it can be changed into a prime (4608976681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1578582 + ... + 1581498.

It is an arithmetic number, because the mean of its divisors is an integer number (39393000).

Almost surely, 2^4608976680 is an apocalyptic number.

4608976680 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 4608976680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084608000).

4608976680 is an abundant number, since it is smaller than the sum of its proper divisors (15560239320).

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

4608976680 is a wasteful number, since it uses less digits than its factorization.

4608976680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4608976680 is about 67889.4445403702. Note that the first 3 decimals coincide. The cubic root of 4608976680 is about 1664.1846182073.

The spelling of 4608976680 in words is "four billion, six hundred eight million, nine hundred seventy-six thousand, six hundred eighty".