6135921792 has 768 divisors, whose sum is σ = 25181694720. Its totient is φ = 1380188160.

The previous prime is 6135921787. The next prime is 6135921793. The reversal of 6135921792 is 2971295316.

It is a happy number.

6135921792 is a `hidden beast` number, since 613 + 5 + 9 + 21 + 7 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6135921793) 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 95 ways as a sum of consecutive naturals, for example, 19603428 + ... + 19603740.

It is an arithmetic number, because the mean of its divisors is an integer number (32788665).

Almost surely, 2^6135921792 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 6135921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590847360).

6135921792 is an abundant number, since it is smaller than the sum of its proper divisors (19045772928).

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

6135921792 is a wasteful number, since it uses less digits than its factorization.

6135921792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 6135921792 is about 78332.1249041541. The cubic root of 6135921792 is about 1830.7397242389.

The spelling of 6135921792 in words is "six billion, one hundred thirty-five million, nine hundred twenty-one thousand, seven hundred ninety-two".