6146193680 has 160 divisors (see below), whose sum is σ = 15898982400. Its totient is φ = 2190988800.

The previous prime is 6146193671. The next prime is 6146193689. The reversal of 6146193680 is 863916416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6146193671) and next prime (6146193689).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (6146193689) 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 31 ways as a sum of consecutive naturals, for example, 14668511 + ... + 14668929.

It is an arithmetic number, because the mean of its divisors is an integer number (99368640).

Almost surely, 2^6146193680 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 6146193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949491200).

6146193680 is an abundant number, since it is smaller than the sum of its proper divisors (9752788720).

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

6146193680 is a wasteful number, since it uses less digits than its factorization.

6146193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 6146193680 is about 78397.6637407008. The cubic root of 6146193680 is about 1831.7607427673.

The spelling of 6146193680 in words is "six billion, one hundred forty-six million, one hundred ninety-three thousand, six hundred eighty".