6246445140 has 384 divisors, whose sum is σ = 22048588800. Its totient is φ = 1457326080.

The previous prime is 6246445129. The next prime is 6246445141. The reversal of 6246445140 is 415446426.

6246445140 is a `hidden beast` number, since 6 + 2 + 4 + 644 + 5 + 1 + 4 + 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 = 6246445095 and 6246445104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6246445141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12418129 + ... + 12418631.

It is an arithmetic number, because the mean of its divisors is an integer number (57418200).

Almost surely, 2^6246445140 is an apocalyptic number.

6246445140 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 6246445140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024294400).

6246445140 is an abundant number, since it is smaller than the sum of its proper divisors (15802143660).

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

6246445140 is a wasteful number, since it uses less digits than its factorization.

6246445140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6246445140 is about 79034.4553976302. The cubic root of 6246445140 is about 1841.6664506550. Note that the first 3 decimals are identical.

The spelling of 6246445140 in words is "six billion, two hundred forty-six million, four hundred forty-five thousand, one hundred forty".