6452826240 has 256 divisors, whose sum is σ = 23832357120. Its totient is φ = 1454505984.

The previous prime is 6452826217. The next prime is 6452826251. The reversal of 6452826240 is 426282546.

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, 977832 + ... + 984408.

It is an arithmetic number, because the mean of its divisors is an integer number (93095145).

Almost surely, 2^6452826240 is an apocalyptic number.

6452826240 is a gapful number since it is divisible by the number (60) 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 6452826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11916178560).

6452826240 is an abundant number, since it is smaller than the sum of its proper divisors (17379530880).

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

6452826240 is a wasteful number, since it uses less digits than its factorization.

6452826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 6452826240 is about 80329.4854956759. The cubic root of 6452826240 is about 1861.7298278958.

The spelling of 6452826240 in words is "six billion, four hundred fifty-two million, eight hundred twenty-six thousand, two hundred forty".