4649895600 has 240 divisors, whose sum is σ = 17258514432. Its totient is φ = 1048135680.

The previous prime is 4649895589. The next prime is 4649895619. The reversal of 4649895600 is 65989464.

It is a tau number, because it is divible by the number of its divisors (240).

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, 609409 + ... + 616991.

Almost surely, 2^4649895600 is an apocalyptic number.

4649895600 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 4649895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629257216).

4649895600 is an abundant number, since it is smaller than the sum of its proper divisors (12608618832).

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

4649895600 is a wasteful number, since it uses less digits than its factorization.

4649895600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 4649895600 is about 68190.1429826922. The cubic root of 4649895600 is about 1669.0950431852.

The spelling of 4649895600 in words is "four billion, six hundred forty-nine million, eight hundred ninety-five thousand, six hundred".