66789408 has 96 divisors (see below), whose sum is σ = 210954240. Its totient is φ = 18074880.

The previous prime is 66789391. The next prime is 66789439. The reversal of 66789408 is 80498766.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10153 + ... + 15383.

It is an arithmetic number, because the mean of its divisors is an integer number (2197440).

Almost surely, 2^66789408 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 66789408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105477120).

66789408 is an abundant number, since it is smaller than the sum of its proper divisors (144164832).

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

66789408 is a wasteful number, since it uses less digits than its factorization.

66789408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 66789408 is about 8172.4786937624. The cubic root of 66789408 is about 405.7288263367.

The spelling of 66789408 in words is "sixty-six million, seven hundred eighty-nine thousand, four hundred eight".