6246142464 has 80 divisors (see below), whose sum is σ = 16827449760. Its totient is φ = 2058608640.

The previous prime is 6246142429. The next prime is 6246142471. The reversal of 6246142464 is 4642416426.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113859 + ... + 159549.

It is an arithmetic number, because the mean of its divisors is an integer number (210343122).

Almost surely, 2^6246142464 is an apocalyptic number.

6246142464 is a gapful number since it is divisible by the number (64) 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 6246142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413724880).

6246142464 is an abundant number, since it is smaller than the sum of its proper divisors (10581307296).

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

6246142464 is an equidigital number, since it uses as much as digits as its factorization.

6246142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45801 (or 45785 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 6246142464 is about 79032.5405386920. The cubic root of 6246142464 is about 1841.6367037496.

The spelling of 6246142464 in words is "six billion, two hundred forty-six million, one hundred forty-two thousand, four hundred sixty-four".