4546939680 has 288 divisors, whose sum is σ = 16512573168. Its totient is φ = 1135411200.

The previous prime is 4546939637. The next prime is 4546939693. The reversal of 4546939680 is 869396454.

4546939680 is a `hidden beast` number, since 4 + 546 + 9 + 3 + 96 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3644778384 + 902161296 = 60372^2 + 30036^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6878550 + ... + 6879210.

Almost surely, 2^4546939680 is an apocalyptic number.

4546939680 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 4546939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256286584).

4546939680 is an abundant number, since it is smaller than the sum of its proper divisors (11965633488).

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

4546939680 is a wasteful number, since it uses less digits than its factorization.

4546939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 4546939680 is about 67430.9993993860. Note that the first 3 decimals coincide. The cubic root of 4546939680 is about 1656.6842023243.

The spelling of 4546939680 in words is "four billion, five hundred forty-six million, nine hundred thirty-nine thousand, six hundred eighty".