6254141968 has 160 divisors (see below), whose sum is σ = 14106597120. Its totient is φ = 2668216320.

The previous prime is 6254141939. The next prime is 6254141977. The reversal of 6254141968 is 8691414526.

It is a happy number.

It is a super-2 number, since 2×6254141968² = 78228583511797826048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9490023 + ... + 9490681.

It is an arithmetic number, because the mean of its divisors is an integer number (88166232).

Almost surely, 2^6254141968 is an apocalyptic number.

6254141968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6254141968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

6254141968 is an abundant number, since it is smaller than the sum of its proper divisors (7852455152).

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

6254141968 is a wasteful number, since it uses less digits than its factorization.

6254141968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 6254141968 is about 79083.1332712608. The cubic root of 6254141968 is about 1842.4225698802.

The spelling of 6254141968 in words is "six billion, two hundred fifty-four million, one hundred forty-one thousand, nine hundred sixty-eight".