4736380800 has 384 divisors, whose sum is σ = 17150688000. Its totient is φ = 1143521280.

The previous prime is 4736380763. The next prime is 4736380801. The reversal of 4736380800 is 80836374.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4736380801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4194636 + ... + 4195764.

It is an arithmetic number, because the mean of its divisors is an integer number (44663250).

Almost surely, 2^4736380800 is an apocalyptic number.

4736380800 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 4736380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575344000).

4736380800 is an abundant number, since it is smaller than the sum of its proper divisors (12414307200).

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

4736380800 is a wasteful number, since it uses less digits than its factorization.

4736380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4736380800 is about 68821.3687745311. The cubic root of 4736380800 is about 1679.3795895097.

The spelling of 4736380800 in words is "four billion, seven hundred thirty-six million, three hundred eighty thousand, eight hundred".