4746833280 has 640 divisors, whose sum is σ = 19715604480. Its totient is φ = 1065996288.

The previous prime is 4746833269. The next prime is 4746833281. The reversal of 4746833280 is 823386474.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4746833281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37376577 + ... + 37376703.

It is an arithmetic number, because the mean of its divisors is an integer number (30805632).

Almost surely, 2^4746833280 is an apocalyptic number.

4746833280 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 4746833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9857802240).

4746833280 is an abundant number, since it is smaller than the sum of its proper divisors (14968771200).

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

4746833280 is a wasteful number, since it uses less digits than its factorization.

4746833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4746833280 is about 68897.2661286353. The cubic root of 4746833280 is about 1680.6140612398.

The spelling of 4746833280 in words is "four billion, seven hundred forty-six million, eight hundred thirty-three thousand, two hundred eighty".