6342009696 has 480 divisors, whose sum is σ = 22393324800. Its totient is φ = 1738091520.

The previous prime is 6342009689. The next prime is 6342009701. The reversal of 6342009696 is 6969002436.

6342009696 is a `hidden beast` number, since 634 + 2 + 0 + 0 + 9 + 6 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12459490 + ... + 12459998.

It is an arithmetic number, because the mean of its divisors is an integer number (46652760).

Almost surely, 2^6342009696 is an apocalyptic number.

6342009696 is a gapful number since it is divisible by the number (66) 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 6342009696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196662400).

6342009696 is an abundant number, since it is smaller than the sum of its proper divisors (16051315104).

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

6342009696 is a wasteful number, since it uses less digits than its factorization.

6342009696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 6342009696 is about 79636.7358447093. The cubic root of 6342009696 is about 1851.0108618209.

The spelling of 6342009696 in words is "six billion, three hundred forty-two million, nine thousand, six hundred ninety-six".