64183680 has 192 divisors, whose sum is σ = 242021520. Its totient is φ = 15544320.

The previous prime is 64183673. The next prime is 64183697. The reversal of 64183680 is 8638146.

It is a happy number.

64183680 is a `hidden beast` number, since 641 + 8 + 3 + 6 + 8 + 0 = 666.

64183680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62854 + ... + 63866.

Almost surely, 2^64183680 is an apocalyptic number.

64183680 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 64183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121010760).

64183680 is an abundant number, since it is smaller than the sum of its proper divisors (177837840).

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

64183680 is a wasteful number, since it uses less digits than its factorization.

64183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 64183680 is about 8011.4717748988. The cubic root of 64183680 is about 400.3823011648.

The spelling of 64183680 in words is "sixty-four million, one hundred eighty-three thousand, six hundred eighty".