66748416 has 128 divisors (see below), whose sum is σ = 205517760. Its totient is φ = 18874368.

The previous prime is 66748399. The next prime is 66748433. The reversal of 66748416 is 61484766.

It is an interprime number because it is at equal distance from previous prime (66748399) and next prime (66748433).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×66748416³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688080 + ... + 688176.

Almost surely, 2^66748416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102758880).

66748416 is an abundant number, since it is smaller than the sum of its proper divisors (138769344).

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

66748416 is an frugal number, since it uses more digits than its factorization.

66748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 66748416 is about 8169.9703793833. The cubic root of 66748416 is about 405.6458039920.

The spelling of 66748416 in words is "sixty-six million, seven hundred forty-eight thousand, four hundred sixteen".