66770496 has 168 divisors, whose sum is σ = 212556344. Its totient is φ = 19906560.

The previous prime is 66770491. The next prime is 66770507. The reversal of 66770496 is 69407766.

It can be written as a sum of positive squares in 4 ways, for example, as 18662400 + 48108096 = 4320^2 + 6936^2 .

It is not an unprimeable number, because it can be changed into a prime (66770491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276936 + ... + 277176.

Almost surely, 2^66770496 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 66770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278172).

66770496 is an abundant number, since it is smaller than the sum of its proper divisors (145785848).

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

66770496 is a wasteful number, since it uses less digits than its factorization.

66770496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 66770496 is about 8171.3215577408. The cubic root of 66770496 is about 405.6905275099.

The spelling of 66770496 in words is "sixty-six million, seven hundred seventy thousand, four hundred ninety-six".