66468864 has 176 divisors, whose sum is σ = 221665536. Its totient is φ = 17203200.

The previous prime is 66468847. The next prime is 66468881. The reversal of 66468864 is 46886466.

It is an interprime number because it is at equal distance from previous prime (66468847) and next prime (66468881).

It is a tau number, because it is divible by the number of its divisors (176).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236404 + ... + 236684.

Almost surely, 2^66468864 is an apocalyptic number.

66468864 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 66468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110832768).

66468864 is an abundant number, since it is smaller than the sum of its proper divisors (155196672).

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

66468864 is a wasteful number, since it uses less digits than its factorization.

66468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 66468864 is about 8152.8439209886. The cubic root of 66468864 is about 405.0787105059.

The spelling of 66468864 in words is "sixty-six million, four hundred sixty-eight thousand, eight hundred sixty-four".