6701282496 has 224 divisors, whose sum is σ = 21006694080. Its totient is φ = 2087534592.

The previous prime is 6701282359. The next prime is 6701282509. The reversal of 6701282496 is 6942821076.

It is a happy number.

6701282496 is a `hidden beast` number, since 6 + 70 + 12 + 82 + 496 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4611306 + ... + 4612758.

Almost surely, 2^6701282496 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 6701282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503347040).

6701282496 is an abundant number, since it is smaller than the sum of its proper divisors (14305411584).

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

6701282496 is a wasteful number, since it uses less digits than its factorization.

6701282496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6701282496 is about 81861.3614350507. The cubic root of 6701282496 is about 1885.3239102182.

The spelling of 6701282496 in words is "six billion, seven hundred one million, two hundred eighty-two thousand, four hundred ninety-six".