66804480 has 144 divisors (see below), whose sum is σ = 237185760. Its totient is φ = 17805312.

The previous prime is 66804467. The next prime is 66804547. The reversal of 66804480 is 8440866.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33594 + ... + 35526.

Almost surely, 2^66804480 is an apocalyptic number.

66804480 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 66804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118592880).

66804480 is an abundant number, since it is smaller than the sum of its proper divisors (170381280).

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

66804480 is a wasteful number, since it uses less digits than its factorization.

66804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66804480 is about 8173.4007610052. The cubic root of 66804480 is about 405.7593435755.

It can be divided in two parts, 66 and 804480, that added together give a triangular number (804546 = T₁₂₆₈).

The spelling of 66804480 in words is "sixty-six million, eight hundred four thousand, four hundred eighty".