6261344712 has 320 divisors, whose sum is σ = 20616076800. Its totient is φ = 1738713600.

The previous prime is 6261344711. The next prime is 6261344741. The reversal of 6261344712 is 2174431626.

6261344712 is a `hidden beast` number, since 626 + 13 + 4 + 4 + 7 + 12 = 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.

Its product of digits (48384) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (6261344711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36192658 + ... + 36192830.

It is an arithmetic number, because the mean of its divisors is an integer number (64425240).

Almost surely, 2^6261344712 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 6261344712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10308038400).

6261344712 is an abundant number, since it is smaller than the sum of its proper divisors (14354732088).

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

6261344712 is a wasteful number, since it uses less digits than its factorization.

6261344712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6261344712 is about 79128.6592329227. The cubic root of 6261344712 is about 1843.1295896972.

The spelling of 6261344712 in words is "six billion, two hundred sixty-one million, three hundred forty-four thousand, seven hundred twelve".