66486420 has 480 divisors, whose sum is σ = 286868736. Its totient is φ = 12441600.

The previous prime is 66486391. The next prime is 66486421. The reversal of 66486420 is 2468466.

It is a happy number.

66486420 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 642 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66486421) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1621600 + ... + 1621640.

Almost surely, 2^66486420 is an apocalyptic number.

66486420 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 66486420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368).

66486420 is an abundant number, since it is smaller than the sum of its proper divisors (220382316).

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

66486420 is a wasteful number, since it uses less digits than its factorization.

66486420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 66486420 is about 8153.9205294141. The cubic root of 66486420 is about 405.1143709911.

The spelling of 66486420 in words is "sixty-six million, four hundred eighty-six thousand, four hundred twenty".