66928891896064 has 729 divisors, whose sum is σ = 160575707961039. Its totient is φ = 27818045122560.

The previous prime is 66928891896059. The next prime is 66928891896073. The reversal of 66928891896064 is 46069819882966.

The square root of 66928891896064 is 8181008.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1424018976489 + ... + 1424018976535.

Almost surely, 2^{66928891896064} is an apocalyptic number.

66928891896064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66928891896064 is the 8181008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66928891896064

66928891896064 is an abundant number, since it is smaller than the sum of its proper divisors (93646816064975).

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

66928891896064 is an equidigital number, since it uses as much as digits as its factorization.

66928891896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 82.

The spelling of 66928891896064 in words is "sixty-six trillion, nine hundred twenty-eight billion, eight hundred ninety-one million, eight hundred ninety-six thousand, sixty-four".