4654809984 has 384 divisors, whose sum is σ = 14768490240. Its totient is φ = 1293107200.

The previous prime is 4654809977. The next prime is 4654809997. The reversal of 4654809984 is 4899084564.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 56082007 + ... + 56082089.

It is an arithmetic number, because the mean of its divisors is an integer number (38459610).

Almost surely, 2^4654809984 is an apocalyptic number.

4654809984 is a gapful number since it is divisible by the number (44) 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 4654809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384245120).

4654809984 is an abundant number, since it is smaller than the sum of its proper divisors (10113680256).

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

4654809984 is a wasteful number, since it uses less digits than its factorization.

4654809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 4654809984 is about 68226.1678830051. The cubic root of 4654809984 is about 1669.6828474903.

The spelling of 4654809984 in words is "four billion, six hundred fifty-four million, eight hundred nine thousand, nine hundred eighty-four".