4621824000 has 624 divisors, whose sum is σ = 17940255840. Its totient is φ = 1140326400.

The previous prime is 4621823993. The next prime is 4621824037. The reversal of 4621824000 is 4281264.

4621824000 is a `hidden beast` number, since 46 + 218 + 2 + 400 + 0 = 666.

It is a super-2 number, since 2×4621824000² = 42722514173952000000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 78335971 + ... + 78336029.

It is an arithmetic number, because the mean of its divisors is an integer number (28750410).

Almost surely, 2^4621824000 is an apocalyptic number.

4621824000 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 4621824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970127920).

4621824000 is an abundant number, since it is smaller than the sum of its proper divisors (13318431840).

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

4621824000 is a wasteful number, since it uses less digits than its factorization.

4621824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4621824000 is about 67983.9981172040. The cubic root of 4621824000 is about 1665.7294642008.

The spelling of 4621824000 in words is "four billion, six hundred twenty-one million, eight hundred twenty-four thousand".