6105140496 has 720 divisors, whose sum is σ = 23463498240. Its totient is φ = 1463132160.

The previous prime is 6105140491. The next prime is 6105140507. The reversal of 6105140496 is 6940415016.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6105140496.

It is not an unprimeable number, because it can be changed into a prime (6105140491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54027736 + ... + 54027848.

It is an arithmetic number, because the mean of its divisors is an integer number (32588192).

Almost surely, 2^6105140496 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 6105140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731749120).

6105140496 is an abundant number, since it is smaller than the sum of its proper divisors (17358357744).

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

6105140496 is a wasteful number, since it uses less digits than its factorization.

6105140496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6105140496 is about 78135.3984823780. The cubic root of 6105140496 is about 1827.6732446362.

The spelling of 6105140496 in words is "six billion, one hundred five million, one hundred forty thousand, four hundred ninety-six".