6126140160 has 720 divisors, whose sum is σ = 26212386816. Its totient is φ = 1335730176.

The previous prime is 6126140143. The next prime is 6126140197. The reversal of 6126140160 is 610416216.

6126140160 is a `hidden beast` number, since 612 + 6 + 1 + 40 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16692297 + ... + 16692663.

Almost surely, 2^6126140160 is an apocalyptic number.

6126140160 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 6126140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106193408).

6126140160 is an abundant number, since it is smaller than the sum of its proper divisors (20086246656).

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

6126140160 is a wasteful number, since it uses less digits than its factorization.

6126140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6126140160 is about 78269.6630885811. The cubic root of 6126140160 is about 1829.7663770562.

Adding to 6126140160 its reverse (610416216), we get a palindrome (6736556376).

The spelling of 6126140160 in words is "six billion, one hundred twenty-six million, one hundred forty thousand, one hundred sixty".