4461652800 has 672 divisors, whose sum is σ = 18255081600. Its totient is φ = 1050624000.

The previous prime is 4461652787. The next prime is 4461652817. The reversal of 4461652800 is 82561644.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19483086 + ... + 19483314.

It is an arithmetic number, because the mean of its divisors is an integer number (27165300).

Almost surely, 2^4461652800 is an apocalyptic number.

4461652800 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 4461652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127540800).

4461652800 is an abundant number, since it is smaller than the sum of its proper divisors (13793428800).

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

4461652800 is a wasteful number, since it uses less digits than its factorization.

4461652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4461652800 is about 66795.6046458148. The cubic root of 4461652800 is about 1646.2606228008.

The spelling of 4461652800 in words is "four billion, four hundred sixty-one million, six hundred fifty-two thousand, eight hundred".