6417248992 has 192 divisors, whose sum is σ = 16826019840. Its totient is φ = 2335334400.

The previous prime is 6417248989. The next prime is 6417249037. The reversal of 6417248992 is 2998427146.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213688 + ... + 2216584.

It is an arithmetic number, because the mean of its divisors is an integer number (87635520).

Almost surely, 2^6417248992 is an apocalyptic number.

6417248992 is a gapful number since it is divisible by the number (62) 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 6417248992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413009920).

6417248992 is an abundant number, since it is smaller than the sum of its proper divisors (10408770848).

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

6417248992 is a wasteful number, since it uses less digits than its factorization.

6417248992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2977 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 6417248992 is about 80107.7336591168. The cubic root of 6417248992 is about 1858.3020107161.

The spelling of 6417248992 in words is "six billion, four hundred seventeen million, two hundred forty-eight thousand, nine hundred ninety-two".