66199161600 has 2160 divisors, whose sum is σ = 309135214080. Its totient is φ = 13735526400.

The previous prime is 66199161599. The next prime is 66199161631. The reversal of 66199161600 is 616199166.

66199161600 is a `hidden beast` number, since 6 + 619 + 9 + 16 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1408492777 + ... + 1408492823.

Almost surely, 2^66199161600 is an apocalyptic number.

66199161600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66199161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154567607040).

66199161600 is an abundant number, since it is smaller than the sum of its proper divisors (242936052480).

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

66199161600 is a wasteful number, since it uses less digits than its factorization.

66199161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 66199161600 in words is "sixty-six billion, one hundred ninety-nine million, one hundred sixty-one thousand, six hundred".