6146457440 has 192 divisors, whose sum is σ = 16891338240. Its totient is φ = 2096455680.

The previous prime is 6146457437. The next prime is 6146457467. The reversal of 6146457440 is 447546416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186055 + ... + 1191225.

It is an arithmetic number, because the mean of its divisors is an integer number (87975720).

Almost surely, 2^6146457440 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 6146457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445669120).

6146457440 is an abundant number, since it is smaller than the sum of its proper divisors (10744880800).

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

6146457440 is a wasteful number, since it uses less digits than its factorization.

6146457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 6146457440 is about 78399.3459156389. The cubic root of 6146457440 is about 1831.7869453423.

The spelling of 6146457440 in words is "six billion, one hundred forty-six million, four hundred fifty-seven thousand, four hundred forty".