6440352534 has 288 divisors, whose sum is σ = 18449121600. Its totient is φ = 1620622080.

The previous prime is 6440352533. The next prime is 6440352551. The reversal of 6440352534 is 4352530446.

6440352534 is a `hidden beast` number, since 64 + 40 + 3 + 525 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440352533) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27640882 + ... + 27641114.

It is an arithmetic number, because the mean of its divisors is an integer number (64059450).

Almost surely, 2^6440352534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6440352534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224560800).

6440352534 is an abundant number, since it is smaller than the sum of its proper divisors (12008769066).

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

6440352534 is a wasteful number, since it uses less digits than its factorization.

6440352534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 6440352534 is about 80251.8070450753. The cubic root of 6440352534 is about 1860.5294417206.

The spelling of 6440352534 in words is "six billion, four hundred forty million, three hundred fifty-two thousand, five hundred thirty-four".