6135382416 has 160 divisors (see below), whose sum is σ = 18078128640. Its totient is φ = 1780918272.

The previous prime is 6135382403. The next prime is 6135382417. The reversal of 6135382416 is 6142835316.

It is not an unprimeable number, because it can be changed into a prime (6135382417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662071 + ... + 671273.

It is an arithmetic number, because the mean of its divisors is an integer number (112988304).

Almost surely, 2^6135382416 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 6135382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039064320).

6135382416 is an abundant number, since it is smaller than the sum of its proper divisors (11942746224).

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

6135382416 is a wasteful number, since it uses less digits than its factorization.

6135382416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9293 (or 9287 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 6135382416 is about 78328.6819498452. The cubic root of 6135382416 is about 1830.6860791612.

Subtracting 6135382416 from its reverse (6142835316), we obtain a square (7452900 = 2730²).

The spelling of 6135382416 in words is "six billion, one hundred thirty-five million, three hundred eighty-two thousand, four hundred sixteen".