66029015678976 has 405 divisors, whose sum is σ = 221960078958891. Its totient is φ = 18859192418304.

The previous prime is 66029015678921. The next prime is 66029015678993. The reversal of 66029015678976 is 67987651092066.

The square root of 66029015678976 is 8125824.

It is a perfect power (a square), and thus also a powerful number.

66029015678976 is a `hidden beast` number, since 6 + 602 + 9 + 0 + 1 + 5 + 6 + 7 + 8 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 21842213401 + ... + 21842216423.

Almost surely, 2^{66029015678976} is an apocalyptic number.

66029015678976 is the 8125824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66029015678976

66029015678976 is an abundant number, since it is smaller than the sum of its proper divisors (155931063279915).

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

66029015678976 is an frugal number, since it uses more digits than its factorization.

66029015678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 66029015678976 in words is "sixty-six trillion, twenty-nine billion, fifteen million, six hundred seventy-eight thousand, nine hundred seventy-six".