6123466440 has 768 divisors, whose sum is σ = 25889310720. Its totient is φ = 1220935680.

The previous prime is 6123466423. The next prime is 6123466511. The reversal of 6123466440 is 446643216.

6123466440 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 4 + 6 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6123466395 and 6123466404.

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 191 ways as a sum of consecutive naturals, for example, 63128472 + ... + 63128568.

It is an arithmetic number, because the mean of its divisors is an integer number (33710040).

Almost surely, 2^6123466440 is an apocalyptic number.

6123466440 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 6123466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944655360).

6123466440 is an abundant number, since it is smaller than the sum of its proper divisors (19765844280).

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

6123466440 is a wasteful number, since it uses less digits than its factorization.

6123466440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6123466440 is about 78252.5810436947. The cubic root of 6123466440 is about 1829.5001411807.

The spelling of 6123466440 in words is "six billion, one hundred twenty-three million, four hundred sixty-six thousand, four hundred forty".