4783622400 has 864 divisors, whose sum is σ = 19465420800. Its totient is φ = 1144627200.

The previous prime is 4783622399. The next prime is 4783622477. The reversal of 4783622400 is 42263874.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 101779177 + ... + 101779223.

Almost surely, 2^4783622400 is an apocalyptic number.

4783622400 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 4783622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732710400).

4783622400 is an abundant number, since it is smaller than the sum of its proper divisors (14681798400).

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

4783622400 is a wasteful number, since it uses less digits than its factorization.

4783622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4783622400 is about 69163.7361628187. The cubic root of 4783622400 is about 1684.9446162826.

The spelling of 4783622400 in words is "four billion, seven hundred eighty-three million, six hundred twenty-two thousand, four hundred".