4649032800 has 576 divisors, whose sum is σ = 17818859520. Its totient is φ = 1168128000.

The previous prime is 4649032799. The next prime is 4649032811. The reversal of 4649032800 is 82309464.

It is a happy number.

4649032800 is a `hidden beast` number, since 4 + 649 + 0 + 3 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×4649032800² = 43227011950951680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 35488735 + ... + 35488865.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^4649032800 is an apocalyptic number.

4649032800 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 4649032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909429760).

4649032800 is an abundant number, since it is smaller than the sum of its proper divisors (13169826720).

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

4649032800 is a wasteful number, since it uses less digits than its factorization.

4649032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4649032800 is about 68183.8162616321. The cubic root of 4649032800 is about 1668.9918018505.

The spelling of 4649032800 in words is "four billion, six hundred forty-nine million, thirty-two thousand, eight hundred".