4791315360 has 576 divisors, whose sum is σ = 18161127936. Its totient is φ = 1051361280.

The previous prime is 4791315307. The next prime is 4791315379. The reversal of 4791315360 is 635131974.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101942857 + ... + 101942903.

It is an arithmetic number, because the mean of its divisors is an integer number (31529736).

Almost surely, 2^4791315360 is an apocalyptic number.

4791315360 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 4791315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080563968).

4791315360 is an abundant number, since it is smaller than the sum of its proper divisors (13369812576).

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

4791315360 is a wasteful number, since it uses less digits than its factorization.

4791315360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 4791315360 is about 69219.3279366392. The cubic root of 4791315360 is about 1685.8473679423.

The spelling of 4791315360 in words is "four billion, seven hundred ninety-one million, three hundred fifteen thousand, three hundred sixty".