6126242364 has 144 divisors (see below), whose sum is σ = 17118331776. Its totient is φ = 1831939200.

The previous prime is 6126242363. The next prime is 6126242399. The reversal of 6126242364 is 4632426216.

6126242364 is a `hidden beast` number, since 6 + 1 + 2 + 624 + 23 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6126242363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13118059 + ... + 13118525.

It is an arithmetic number, because the mean of its divisors is an integer number (118877304).

Almost surely, 2^6126242364 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 6126242364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559165888).

6126242364 is an abundant number, since it is smaller than the sum of its proper divisors (10992089412).

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

6126242364 is a wasteful number, since it uses less digits than its factorization.

6126242364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 851 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6126242364 is about 78270.3159824975. The cubic root of 6126242364 is about 1829.7765524901.

The spelling of 6126242364 in words is "six billion, one hundred twenty-six million, two hundred forty-two thousand, three hundred sixty-four".