4766791680 has 480 divisors, whose sum is σ = 19550250720. Its totient is φ = 1088225280.

The previous prime is 4766791643. The next prime is 4766791691. The reversal of 4766791680 is 861976674.

It is a happy number.

4766791680 is a `hidden beast` number, since 476 + 6 + 7 + 9 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805670 + ... + 5806490.

It is an arithmetic number, because the mean of its divisors is an integer number (40729689).

Almost surely, 2^4766791680 is an apocalyptic number.

4766791680 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 4766791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775125360).

4766791680 is an abundant number, since it is smaller than the sum of its proper divisors (14783459040).

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

4766791680 is an equidigital number, since it uses as much as digits as its factorization.

4766791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4766791680 is about 69041.9559398486. The cubic root of 4766791680 is about 1682.9661884216.

The spelling of 4766791680 in words is "four billion, seven hundred sixty-six million, seven hundred ninety-one thousand, six hundred eighty".