66506104800 has 432 divisors, whose sum is σ = 242222028048. Its totient is φ = 17160192000.

The previous prime is 66506104799. The next prime is 66506104813. The reversal of 66506104800 is 840160566.

66506104800 is a `hidden beast` number, since 66 + 506 + 10 + 4 + 80 + 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34983850 + ... + 34985750.

It is an arithmetic number, because the mean of its divisors is an integer number (560699139).

Almost surely, 2^66506104800 is an apocalyptic number.

66506104800 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 66506104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121111014024).

66506104800 is an abundant number, since it is smaller than the sum of its proper divisors (175715923248).

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

66506104800 is a wasteful number, since it uses less digits than its factorization.

66506104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2067 counting only the distinct ones).

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

The spelling of 66506104800 in words is "sixty-six billion, five hundred six million, one hundred four thousand, eight hundred".