4608415680 has 336 divisors, whose sum is σ = 16288329120. Its totient is φ = 1102970880.

The previous prime is 4608415663. The next prime is 4608415699. The reversal of 4608415680 is 865148064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11267316 + ... + 11267724.

It is an arithmetic number, because the mean of its divisors is an integer number (48477170).

Almost surely, 2^4608415680 is an apocalyptic number.

4608415680 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 4608415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144164560).

4608415680 is an abundant number, since it is smaller than the sum of its proper divisors (11679913440).

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

4608415680 is a wasteful number, since it uses less digits than its factorization.

4608415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4608415680 is about 67885.3126972249. The cubic root of 4608415680 is about 1664.1170945090.

The spelling of 4608415680 in words is "four billion, six hundred eight million, four hundred fifteen thousand, six hundred eighty".