66215734200 has 960 divisors, whose sum is σ = 289949299200. Its totient is φ = 13604889600.

The previous prime is 66215734181. The next prime is 66215734201. The reversal of 66215734200 is 243751266.

66215734200 is a `hidden beast` number, since 6 + 62 + 1 + 573 + 4 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66215734201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 135966357 + ... + 135966843.

It is an arithmetic number, because the mean of its divisors is an integer number (302030520).

Almost surely, 2^66215734200 is an apocalyptic number.

66215734200 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 66215734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144974649600).

66215734200 is an abundant number, since it is smaller than the sum of its proper divisors (223733565000).

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

66215734200 is a wasteful number, since it uses less digits than its factorization.

66215734200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 66215734200 in words is "sixty-six billion, two hundred fifteen million, seven hundred thirty-four thousand, two hundred".