4713282846720 has 2400 divisors, whose sum is σ = 21046844915712. Its totient is φ = 984562532352.

The previous prime is 4713282846719. The next prime is 4713282846751. The reversal of 4713282846720 is 276482823174.

4713282846720 is a `hidden beast` number, since 4 + 7 + 132 + 8 + 28 + 467 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37112463297 + ... + 37112463423.

Almost surely, 2^{4713282846720} is an apocalyptic number.

4713282846720 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 4713282846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523422457856).

4713282846720 is an abundant number, since it is smaller than the sum of its proper divisors (16333562068992).

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

4713282846720 is a wasteful number, since it uses less digits than its factorization.

4713282846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4713282846720 in words is "four trillion, seven hundred thirteen billion, two hundred eighty-two million, eight hundred forty-six thousand, seven hundred twenty".