6612164150400 has 288 divisors, whose sum is σ = 24231388907700. Its totient is φ = 1715588259840.

The previous prime is 6612164150377. The next prime is 6612164150401. The reversal of 6612164150400 is 40514612166.

6612164150400 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 1 + 641 + 5 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5216911811136 + 1395252339264 = 2284056^2 + 1181208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6612164150401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2036955 + ... + 4168154.

Almost surely, 2^{6612164150400} is an apocalyptic number.

6612164150400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6612164150400 is an abundant number, since it is smaller than the sum of its proper divisors (17619224757300).

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

6612164150400 is a wasteful number, since it uses less digits than its factorization.

6612164150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205176 (or 6205156 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 6612164150400 its reverse (40514612166), we get a palindrome (6652678762566).

The spelling of 6612164150400 in words is "six trillion, six hundred twelve billion, one hundred sixty-four million, one hundred fifty thousand, four hundred".