66414129600 has 1344 divisors, whose sum is σ = 285731712000. Its totient is φ = 13403013120.

The previous prime is 66414129553. The next prime is 66414129631. The reversal of 66414129600 is 692141466.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×66414129600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 620692747 + ... + 620692853.

It is an arithmetic number, because the mean of its divisors is an integer number (212598000).

Almost surely, 2^66414129600 is an apocalyptic number.

66414129600 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 66414129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142865856000).

66414129600 is an abundant number, since it is smaller than the sum of its proper divisors (219317582400).

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

66414129600 is a wasteful number, since it uses less digits than its factorization.

66414129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 66414129600 in words is "sixty-six billion, four hundred fourteen million, one hundred twenty-nine thousand, six hundred".