4546827840 has 224 divisors, whose sum is σ = 14875459200. Its totient is φ = 1175961600.

The previous prime is 4546827829. The next prime is 4546827847. The reversal of 4546827840 is 487286454.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4546827840.

It is not an unprimeable number, because it can be changed into a prime (4546827847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13027986 + ... + 13028334.

It is an arithmetic number, because the mean of its divisors is an integer number (66408300).

Almost surely, 2^4546827840 is an apocalyptic number.

4546827840 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 4546827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437729600).

4546827840 is an abundant number, since it is smaller than the sum of its proper divisors (10328631360).

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

4546827840 is a wasteful number, since it uses less digits than its factorization.

4546827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The square root of 4546827840 is about 67430.1701021138. The cubic root of 4546827840 is about 1656.6706191898.

The spelling of 4546827840 in words is "four billion, five hundred forty-six million, eight hundred twenty-seven thousand, eight hundred forty".