66415464 has 80 divisors (see below), whose sum is σ = 197000100. Its totient is φ = 20832768.

The previous prime is 66415463. The next prime is 66415487. The reversal of 66415464 is 46451466.

66415464 is a `hidden beast` number, since 6 + 641 + 5 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55800900 + 10614564 = 7470^2 + 3258^2 .

It is a super-2 number, since 2×66415464² = 8822027716670592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (66415463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8002 + ... + 14030.

Almost surely, 2^66415464 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 66415464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98500050).

66415464 is an abundant number, since it is smaller than the sum of its proper divisors (130584636).

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

66415464 is a wasteful number, since it uses less digits than its factorization.

66415464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6051 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 66415464 is about 8149.5683321266. The cubic root of 66415464 is about 404.9702035692.

The spelling of 66415464 in words is "sixty-six million, four hundred fifteen thousand, four hundred sixty-four".