4609612800 has 924 divisors, whose sum is σ = 19420380280. Its totient is φ = 1074954240.

The previous prime is 4609612793. The next prime is 4609612801. The reversal of 4609612800 is 82169064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4609612801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 242611191 + ... + 242611209.

Almost surely, 2^4609612800 is an apocalyptic number.

4609612800 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 4609612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710190140).

4609612800 is an abundant number, since it is smaller than the sum of its proper divisors (14810767480).

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

4609612800 is a wasteful number, since it uses less digits than its factorization.

4609612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4609612800 is about 67894.1293485674. The cubic root of 4609612800 is about 1664.2611769529.

It can be divided in two parts, 460961 and 2800, that added together give a square (463761 = 681²).

The spelling of 4609612800 in words is "four billion, six hundred nine million, six hundred twelve thousand, eight hundred".