4782689000 has 96 divisors (see below), whose sum is σ = 11700528840. Its totient is φ = 1829696000.

The previous prime is 4782688979. The next prime is 4782689003. The reversal of 4782689000 is 9862874.

It can be written as a sum of positive squares in 4 ways, for example, as 3041963716 + 1740725284 = 55154^2 + 41722^2 .

It is a super-2 number, since 2×4782689000² = 45748228141442000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4782689003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524480 + ... + 533520.

Almost surely, 2^4782689000 is an apocalyptic number.

4782689000 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 4782689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850264420).

4782689000 is an abundant number, since it is smaller than the sum of its proper divisors (6917839840).

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

4782689000 is a wasteful number, since it uses less digits than its factorization.

4782689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9108 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 4782689000 is about 69156.9880778508. The cubic root of 4782689000 is about 1684.8350180551.

The spelling of 4782689000 in words is "four billion, seven hundred eighty-two million, six hundred eighty-nine thousand".