6146668800 has 540 divisors, whose sum is σ = 23185141056. Its totient is φ = 1606348800.

The previous prime is 6146668769. The next prime is 6146668811. The reversal of 6146668800 is 88666416.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 36806317 + ... + 36806483.

Almost surely, 2^6146668800 is an apocalyptic number.

6146668800 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 6146668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592570528).

6146668800 is an abundant number, since it is smaller than the sum of its proper divisors (17038472256).

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

6146668800 is a wasteful number, since it uses less digits than its factorization.

6146668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6146668800 is about 78400.6938744805. The cubic root of 6146668800 is about 1831.8079418298.

The spelling of 6146668800 in words is "six billion, one hundred forty-six million, six hundred sixty-eight thousand, eight hundred".