5446120680 has 1152 divisors, whose sum is σ = 25813831680. Its totient is φ = 975421440.

The previous prime is 5446120657. The next prime is 5446120681. The reversal of 5446120680 is 860216445.

5446120680 is a `hidden beast` number, since 5 + 446 + 1 + 206 + 8 + 0 = 666.

It is a super-2 number, since 2×5446120680² = 59320460922247324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5446120681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42882777 + ... + 42882903.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2^5446120680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5446120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906915840).

5446120680 is an abundant number, since it is smaller than the sum of its proper divisors (20367711000).

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

5446120680 is a wasteful number, since it uses less digits than its factorization.

5446120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5446120680 is about 73797.8365536551. The cubic root of 5446120680 is about 1759.3912193725.

The spelling of 5446120680 in words is "five billion, four hundred forty-six million, one hundred twenty thousand, six hundred eighty".