66446626190400 has 315 divisors, whose sum is σ = 244251870759061. Its totient is φ = 17718317775360.

The previous prime is 66446626190381. The next prime is 66446626190437. The reversal of 66446626190400 is 409162664466.

The square root of 66446626190400 is 8151480.

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

66446626190400 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 6 + 626 + 1 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23920785428544 + 42525840761856 = 4890888^2 + 6521184^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2934521479 + ... + 2934544121.

Almost surely, 2^{66446626190400} is an apocalyptic number.

66446626190400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66446626190400 is the 8151480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66446626190400

66446626190400 is an abundant number, since it is smaller than the sum of its proper divisors (177805244568661).

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

66446626190400 is an frugal number, since it uses more digits than its factorization.

66446626190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45320 (or 22653 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 66446626190400 in words is "sixty-six trillion, four hundred forty-six billion, six hundred twenty-six million, one hundred ninety thousand, four hundred".