4813061760 has 768 divisors, whose sum is σ = 20049120000. Its totient is φ = 1051066368.

The previous prime is 4813061749. The next prime is 4813061761. The reversal of 4813061760 is 671603184.

4813061760 is a `hidden beast` number, since 4 + 8 + 1 + 30 + 617 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4813061761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24186141 + ... + 24186339.

It is an arithmetic number, because the mean of its divisors is an integer number (26105625).

Almost surely, 2^4813061760 is an apocalyptic number.

4813061760 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 4813061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560000).

4813061760 is an abundant number, since it is smaller than the sum of its proper divisors (15236058240).

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

4813061760 is a wasteful number, since it uses less digits than its factorization.

4813061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4813061760 is about 69376.2333944414. The cubic root of 4813061760 is about 1688.3940441084.

The spelling of 4813061760 in words is "four billion, eight hundred thirteen million, sixty-one thousand, seven hundred sixty".