66642576 has 320 divisors, whose sum is σ = 246650880. Its totient is φ = 14929920.

The previous prime is 66642559. The next prime is 66642581. The reversal of 66642576 is 67524666.

66642576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (362880) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912876 + ... + 912948.

It is an arithmetic number, because the mean of its divisors is an integer number (770784).

Almost surely, 2^66642576 is an apocalyptic number.

66642576 is a gapful number since it is divisible by the number (66) 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 66642576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123325440).

66642576 is an abundant number, since it is smaller than the sum of its proper divisors (180008304).

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

66642576 is a wasteful number, since it uses less digits than its factorization.

66642576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 66642576 is about 8163.4904299570. The cubic root of 66642576 is about 405.4312857203.

The spelling of 66642576 in words is "sixty-six million, six hundred forty-two thousand, five hundred seventy-six".