4741605000 has 640 divisors, whose sum is σ = 18714009600. Its totient is φ = 1101600000.

The previous prime is 4741604981. The next prime is 4741605007. The reversal of 4741605000 is 5061474.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4741605007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46034949 + ... + 46035051.

It is an arithmetic number, because the mean of its divisors is an integer number (29240640).

Almost surely, 2^4741605000 is an apocalyptic number.

4741605000 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 4741605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357004800).

4741605000 is an abundant number, since it is smaller than the sum of its proper divisors (13972404600).

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

4741605000 is a wasteful number, since it uses less digits than its factorization.

4741605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4741605000 is about 68859.3130956155. The cubic root of 4741605000 is about 1679.9968112184.

Adding to 4741605000 its reverse (5061474), we get a palindrome (4746666474).

The spelling of 4741605000 in words is "four billion, seven hundred forty-one million, six hundred five thousand".