66328911936 has 525 divisors, whose sum is σ = 232561150701. Its totient is φ = 18691513344.

The previous prime is 66328911923. The next prime is 66328911953. The reversal of 66328911936 is 63911982366.

The square root of 66328911936 is 257544.

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

It can be written as a sum of positive squares in only one way, i.e., 37651521600 + 28677390336 = 194040^2 + 169344^2 .

It is a super-2 number, since 2×66328911936² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 908615196 + ... + 908615268.

Almost surely, 2^66328911936 is an apocalyptic number.

66328911936 is the 257544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66328911936

66328911936 is an abundant number, since it is smaller than the sum of its proper divisors (166232238765).

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

66328911936 is an frugal number, since it uses more digits than its factorization.

66328911936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 85 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 66328911936 in words is "sixty-six billion, three hundred twenty-eight million, nine hundred eleven thousand, nine hundred thirty-six".