66416768 has 64 divisors (see below), whose sum is σ = 147834720. Its totient is φ = 29460480.

The previous prime is 66416747. The next prime is 66416771. The reversal of 66416768 is 86761466.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×66416768² = 8822374143131648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59996 + ... + 61092.

Almost surely, 2^66416768 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 66416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73917360).

66416768 is an abundant number, since it is smaller than the sum of its proper divisors (81417952).

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

66416768 is a wasteful number, since it uses less digits than its factorization.

66416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 66416768 is about 8149.6483359713. The cubic root of 66416768 is about 404.9728539444.

The spelling of 66416768 in words is "sixty-six million, four hundred sixteen thousand, seven hundred sixty-eight".