64335456 has 72 divisors (see below), whose sum is σ = 189287280. Its totient is φ = 20702976.

The previous prime is 64335421. The next prime is 64335457. The reversal of 64335456 is 65453346.

64335456 is a `hidden beast` number, since 643 + 3 + 5 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64335456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64335457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4501 + ... + 12203.

It is an arithmetic number, because the mean of its divisors is an integer number (2628990).

Almost surely, 2^64335456 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 64335456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94643640).

64335456 is an abundant number, since it is smaller than the sum of its proper divisors (124951824).

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

64335456 is a wasteful number, since it uses less digits than its factorization.

64335456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7737 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 64335456 is about 8020.9385984435. The cubic root of 64335456 is about 400.6976491733.

The spelling of 64335456 in words is "sixty-four million, three hundred thirty-five thousand, four hundred fifty-six".