66624768 has 288 divisors, whose sum is σ = 241355520. Its totient is φ = 17915904.

The previous prime is 66624739. The next prime is 66624787. The reversal of 66624768 is 86742666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×66624768² = 8877719422107648, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3919096 + ... + 3919112.

It is an arithmetic number, because the mean of its divisors is an integer number (838040).

Almost surely, 2^66624768 is an apocalyptic number.

66624768 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 66624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677760).

66624768 is an abundant number, since it is smaller than the sum of its proper divisors (174730752).

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

66624768 is an frugal number, since it uses more digits than its factorization.

66624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 66624768 is about 8162.3996471626. The cubic root of 66624768 is about 405.3951698518.

The spelling of 66624768 in words is "sixty-six million, six hundred twenty-four thousand, seven hundred sixty-eight".