66502368 has 144 divisors (see below), whose sum is σ = 205208640. Its totient is φ = 20419584.

The previous prime is 66502367. The next prime is 66502379. The reversal of 66502368 is 86320566.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×66502368³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66502367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414921 + ... + 1414967.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 2^66502368 is an apocalyptic number.

66502368 is a gapful number since it is divisible by the number (68) 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 66502368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320).

66502368 is an abundant number, since it is smaller than the sum of its proper divisors (138706272).

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

66502368 is a wasteful number, since it uses less digits than its factorization.

66502368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66502368 is about 8154.8984052531. The cubic root of 66502368 is about 405.1467597981.

The spelling of 66502368 in words is "sixty-six million, five hundred two thousand, three hundred sixty-eight".