6465633408 has 256 divisors, whose sum is σ = 21447417600. Its totient is φ = 1902624768.

The previous prime is 6465633401. The next prime is 6465633479. The reversal of 6465633408 is 8043365646.

6465633408 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 633 + 4 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6465633401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030216 + ... + 1036472.

It is an arithmetic number, because the mean of its divisors is an integer number (83778975).

Almost surely, 2^6465633408 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 6465633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723708800).

6465633408 is an abundant number, since it is smaller than the sum of its proper divisors (14981784192).

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

6465633408 is a wasteful number, since it uses less digits than its factorization.

6465633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 6465633408 is about 80409.1624629930. The cubic root of 6465633408 is about 1862.9606957772.

The spelling of 6465633408 in words is "six billion, four hundred sixty-five million, six hundred thirty-three thousand, four hundred eight".