4754761680 has 80 divisors (see below), whose sum is σ = 14763590784. Its totient is φ = 1265886720.

The previous prime is 4754761673. The next prime is 4754761747. The reversal of 4754761680 is 861674574.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×4754761680⁴ (a number of 40 digits) contains 4444 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 135742 + ... + 167138.

Almost surely, 2^4754761680 is an apocalyptic number.

4754761680 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 4754761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381795392).

4754761680 is an abundant number, since it is smaller than the sum of its proper divisors (10008829104).

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

4754761680 is a wasteful number, since it uses less digits than its factorization.

4754761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32044 (or 32038 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 4754761680 is about 68954.7799648436. The cubic root of 4754761680 is about 1681.5492228624.

The spelling of 4754761680 in words is "four billion, seven hundred fifty-four million, seven hundred sixty-one thousand, six hundred eighty".