6121445760 has 192 divisors, whose sum is σ = 21710173680. Its totient is φ = 1588211712.

The previous prime is 6121445753. The next prime is 6121445767. The reversal of 6121445760 is 675441216.

6121445760 is a `hidden beast` number, since 61 + 21 + 4 + 4 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6121445753) and next prime (6121445767).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121445767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198759 + ... + 227481.

Almost surely, 2^6121445760 is an apocalyptic number.

6121445760 is a gapful number since it is divisible by the number (60) 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 6121445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10855086840).

6121445760 is an abundant number, since it is smaller than the sum of its proper divisors (15588727920).

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

6121445760 is a wasteful number, since it uses less digits than its factorization.

6121445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28785 (or 28770 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6121445760 is about 78239.6687109551. The cubic root of 6121445760 is about 1829.2988803918.

Adding to 6121445760 its reverse (675441216), we get a palindrome (6796886976).

The spelling of 6121445760 in words is "six billion, one hundred twenty-one million, four hundred forty-five thousand, seven hundred sixty".