4746368880 has 320 divisors, whose sum is σ = 18320256000. Its totient is φ = 1119329280.

The previous prime is 4746368867. The next prime is 4746368899. The reversal of 4746368880 is 888636474.

4746368880 is a `hidden beast` number, since 47 + 463 + 68 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876421 + ... + 881819.

It is an arithmetic number, because the mean of its divisors is an integer number (57250800).

Almost surely, 2^4746368880 is an apocalyptic number.

4746368880 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 4746368880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128000).

4746368880 is an abundant number, since it is smaller than the sum of its proper divisors (13573887120).

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

4746368880 is a wasteful number, since it uses less digits than its factorization.

4746368880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4746368880 is about 68893.8958108772. The cubic root of 4746368880 is about 1680.5592525861.

The spelling of 4746368880 in words is "four billion, seven hundred forty-six million, three hundred sixty-eight thousand, eight hundred eighty".