4600896000 has 320 divisors, whose sum is σ = 15810702336. Its totient is φ = 1185792000.

The previous prime is 4600895987. The next prime is 4600896019. The reversal of 4600896000 is 6980064.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5951614 + ... + 5952386.

Almost surely, 2^4600896000 is an apocalyptic number.

4600896000 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 4600896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905351168).

4600896000 is an abundant number, since it is smaller than the sum of its proper divisors (11209806336).

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

4600896000 is an equidigital number, since it uses as much as digits as its factorization.

4600896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4600896000 is about 67829.9049092655. The cubic root of 4600896000 is about 1663.2114730432.

The spelling of 4600896000 in words is "four billion, six hundred million, eight hundred ninety-six thousand".