6335661456 has 240 divisors, whose sum is σ = 19953722880. Its totient is φ = 1922365440.

The previous prime is 6335661433. The next prime is 6335661457. The reversal of 6335661456 is 6541665336.

6335661456 is a `hidden beast` number, since 6 + 33 + 566 + 1 + 4 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (6335661457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3869470 + ... + 3871106.

It is an arithmetic number, because the mean of its divisors is an integer number (83140512).

Almost surely, 2^6335661456 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 6335661456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9976861440).

6335661456 is an abundant number, since it is smaller than the sum of its proper divisors (13618061424).

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

6335661456 is a wasteful number, since it uses less digits than its factorization.

6335661456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1690 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 6335661456 is about 79596.8683806090. The cubic root of 6335661456 is about 1850.3930458775.

The spelling of 6335661456 in words is "six billion, three hundred thirty-five million, six hundred sixty-one thousand, four hundred fifty-six".