65664000 has 352 divisors, whose sum is σ = 255465600. Its totient is φ = 16588800.

The previous prime is 65663993. The next prime is 65664037. The reversal of 65664000 is 46656.

65664000 is a `hidden beast` number, since 656 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455991 + ... + 3456009.

Almost surely, 2^65664000 is an apocalyptic number.

65664000 is a gapful number since it is divisible by the number (60) 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 65664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127732800).

65664000 is an abundant number, since it is smaller than the sum of its proper divisors (189801600).

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

65664000 is a wasteful number, since it uses less digits than its factorization.

65664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 65664000 is about 8103.3326477444. The cubic root of 65664000 is about 403.4370488159.

The spelling of 65664000 in words is "sixty-five million, six hundred sixty-four thousand".