4769505000 has 480 divisors, whose sum is σ = 18012234240. Its totient is φ = 1131840000.

The previous prime is 4769504983. The next prime is 4769505007. The reversal of 4769505000 is 5059674.

4769505000 is a `hidden beast` number, since 47 + 69 + 50 + 500 + 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 not an unprimeable number, because it can be changed into a prime (4769505007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18134869 + ... + 18135131.

It is an arithmetic number, because the mean of its divisors is an integer number (37525488).

Almost surely, 2^4769505000 is an apocalyptic number.

4769505000 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 4769505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006117120).

4769505000 is an abundant number, since it is smaller than the sum of its proper divisors (13242729240).

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

4769505000 is a wasteful number, since it uses less digits than its factorization.

4769505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4769505000 is about 69061.6029353504. The cubic root of 4769505000 is about 1683.2854499554.

The spelling of 4769505000 in words is "four billion, seven hundred sixty-nine million, five hundred five thousand".