66622464 has 66 divisors (see below), whose sum is σ = 192397530. Its totient is φ = 22204416.

The previous prime is 66622447. The next prime is 66622471. The reversal of 66622464 is 46422666.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 36864 = 8160^2 + 192^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5602 + ... + 12830.

Almost surely, 2^66622464 is an apocalyptic number.

66622464 is a gapful number since it is divisible by the number (64) 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 66622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96198765).

66622464 is an abundant number, since it is smaller than the sum of its proper divisors (125775066).

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

66622464 is a wasteful number, since it uses less digits than its factorization.

66622464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7234 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66622464 is about 8162.2585109760. The cubic root of 66622464 is about 405.3904967087.

The spelling of 66622464 in words is "sixty-six million, six hundred twenty-two thousand, four hundred sixty-four".