66429013291200 has 2520 divisors, whose sum is σ = 293081726591280. Its totient is φ = 14704478208000.

The previous prime is 66429013291153. The next prime is 66429013291217. The reversal of 66429013291200 is 219231092466.

66429013291200 is a `hidden beast` number, since 6 + 6 + 429 + 0 + 13 + 2 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 63205530675 + ... + 63205531725.

Almost surely, 2^{66429013291200} is an apocalyptic number.

66429013291200 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 66429013291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146540863295640).

66429013291200 is an abundant number, since it is smaller than the sum of its proper divisors (226652713300080).

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

66429013291200 is a wasteful number, since it uses less digits than its factorization.

66429013291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 66429013291200 in words is "sixty-six trillion, four hundred twenty-nine billion, thirteen million, two hundred ninety-one thousand, two hundred".