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6641396496 = 24337419337
BaseRepresentation
bin1100010111101101…
…11010101100010000
3122010211221220021000
412023312322230100
5102100144141441
63015004102000
7323402640000
oct61366725420
918124856230
106641396496
1128a8993539
121354234900
1381ac29a17
14470090000
1528d0d12b6
hex18bdbab10

6641396496 has 400 divisors, whose sum is σ = 23479102400. Its totient is φ = 1792336896.

The previous prime is 6641396479. The next prime is 6641396527. The reversal of 6641396496 is 6946931466.

6641396496 is a `hidden beast` number, since 6 + 64 + 1 + 3 + 96 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19707240 + ... + 19707576.

It is an arithmetic number, because the mean of its divisors is an integer number (58697756).

Almost surely, 26641396496 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 6641396496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739551200).

6641396496 is an abundant number, since it is smaller than the sum of its proper divisors (16837705904).

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

6641396496 is a wasteful number, since it uses less digits than its factorization.

6641396496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 368 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 6641396496 is about 81494.7636109217. The cubic root of 6641396496 is about 1879.6910326723.

The spelling of 6641396496 in words is "six billion, six hundred forty-one million, three hundred ninety-six thousand, four hundred ninety-six".