4722746400 has 648 divisors, whose sum is σ = 18572561280. Its totient is φ = 1126794240.

The previous prime is 4722746389. The next prime is 4722746443. The reversal of 4722746400 is 46472274.

It is a happy number.

4722746400 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 7 + 4 + 640 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 59781561 + ... + 59781639.

It is an arithmetic number, because the mean of its divisors is an integer number (28661360).

Almost surely, 2^4722746400 is an apocalyptic number.

4722746400 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 4722746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286280640).

4722746400 is an abundant number, since it is smaller than the sum of its proper divisors (13849814880).

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

4722746400 is a wasteful number, since it uses less digits than its factorization.

4722746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4722746400 is about 68722.2409413430. The cubic root of 4722746400 is about 1677.7665900197.

The spelling of 4722746400 in words is "four billion, seven hundred twenty-two million, seven hundred forty-six thousand, four hundred".