4813767360 has 448 divisors, whose sum is σ = 17696931840. Its totient is φ = 1230888960.

The previous prime is 4813767353. The next prime is 4813767383. The reversal of 4813767360 is 637673184.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37903617 + ... + 37903743.

It is an arithmetic number, because the mean of its divisors is an integer number (39502080).

Almost surely, 2^4813767360 is an apocalyptic number.

4813767360 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 4813767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848465920).

4813767360 is an abundant number, since it is smaller than the sum of its proper divisors (12883164480).

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

4813767360 is a wasteful number, since it uses less digits than its factorization.

4813767360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4813767360 is about 69381.3185230722. The cubic root of 4813767360 is about 1688.4765468675.

The spelling of 4813767360 in words is "four billion, eight hundred thirteen million, seven hundred sixty-seven thousand, three hundred sixty".