66982464 has 168 divisors, whose sum is σ = 205252320. Its totient is φ = 21648384.

The previous prime is 66982427. The next prime is 66982483. The reversal of 66982464 is 46428966.

It is a super-2 number, since 2×66982464² = 8973300967022592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917532 + ... + 917604.

It is an arithmetic number, because the mean of its divisors is an integer number (1221740).

Almost surely, 2^66982464 is an apocalyptic number.

66982464 is a gapful number since it is divisible by the number (64) 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 66982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102626160).

66982464 is an abundant number, since it is smaller than the sum of its proper divisors (138269856).

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

66982464 is an equidigital number, since it uses as much as digits as its factorization.

66982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66982464 is about 8184.2815200847. The cubic root of 66982464 is about 406.1193724713.

The spelling of 66982464 in words is "sixty-six million, nine hundred eighty-two thousand, four hundred sixty-four".