4646098464 has 288 divisors, whose sum is σ = 14811697152. Its totient is φ = 1270080000.

The previous prime is 4646098459. The next prime is 4646098477. The reversal of 4646098464 is 4648906464.

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, 22019319 + ... + 22019529.

It is an arithmetic number, because the mean of its divisors is an integer number (51429504).

Almost surely, 2^4646098464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4646098464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405848576).

4646098464 is an abundant number, since it is smaller than the sum of its proper divisors (10165598688).

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

4646098464 is a wasteful number, since it uses less digits than its factorization.

4646098464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The square root of 4646098464 is about 68162.2950317843. The cubic root of 4646098464 is about 1668.6405880488.

The spelling of 4646098464 in words is "four billion, six hundred forty-six million, ninety-eight thousand, four hundred sixty-four".