4791453744 has 480 divisors, whose sum is σ = 17021767680. Its totient is φ = 1124928000.

The previous prime is 4791453731. The next prime is 4791453761. The reversal of 4791453744 is 4473541974.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1693440) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4791453693 and 4791453702.

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, 67485229 + ... + 67485299.

It is an arithmetic number, because the mean of its divisors is an integer number (35462016).

Almost surely, 2^4791453744 is an apocalyptic number.

4791453744 is a gapful number since it is divisible by the number (44) 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 4791453744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510883840).

4791453744 is an abundant number, since it is smaller than the sum of its proper divisors (12230313936).

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

4791453744 is a wasteful number, since it uses less digits than its factorization.

4791453744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 4791453744 is about 69220.3275346195. The cubic root of 4791453744 is about 1685.8635981448.

The spelling of 4791453744 in words is "four billion, seven hundred ninety-one million, four hundred fifty-three thousand, seven hundred forty-four".