4689074880 has 896 divisors, whose sum is σ = 20318699520. Its totient is φ = 995328000.

The previous prime is 4689074813. The next prime is 4689074881. The reversal of 4689074880 is 884709864.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4689074881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76870050 + ... + 76870110.

It is an arithmetic number, because the mean of its divisors is an integer number (22677120).

Almost surely, 2^4689074880 is an apocalyptic number.

4689074880 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 4689074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159349760).

4689074880 is an abundant number, since it is smaller than the sum of its proper divisors (15629624640).

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

4689074880 is a wasteful number, since it uses less digits than its factorization.

4689074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4689074880 is about 68476.8200196242. The cubic root of 4689074880 is about 1673.7697811639.

The spelling of 4689074880 in words is "four billion, six hundred eighty-nine million, seventy-four thousand, eight hundred eighty".