4946064800 has 144 divisors (see below), whose sum is σ = 12806992800. Its totient is φ = 1860019200.

The previous prime is 4946064797. The next prime is 4946064817. The reversal of 4946064800 is 84606494.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2111630 + ... + 2113970.

It is an arithmetic number, because the mean of its divisors is an integer number (88937450).

Almost surely, 2^4946064800 is an apocalyptic number.

4946064800 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 4946064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403496400).

4946064800 is an abundant number, since it is smaller than the sum of its proper divisors (7860928000).

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

4946064800 is a wasteful number, since it uses less digits than its factorization.

4946064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 4946064800 is about 70328.2645882863. The cubic root of 4946064800 is about 1703.8051787817.

The spelling of 4946064800 in words is "four billion, nine hundred forty-six million, sixty-four thousand, eight hundred".