66746073600 has 840 divisors, whose sum is σ = 259551369792. Its totient is φ = 16970342400.

The previous prime is 66746073599. The next prime is 66746073631. The reversal of 66746073600 is 637064766.

66746073600 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 607 + 36 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 214617445 + ... + 214617755.

Almost surely, 2^66746073600 is an apocalyptic number.

66746073600 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 66746073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129775684896).

66746073600 is an abundant number, since it is smaller than the sum of its proper divisors (192805296192).

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

66746073600 is an equidigital number, since it uses as much as digits as its factorization.

66746073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 66746073600 in words is "sixty-six billion, seven hundred forty-six million, seventy-three thousand, six hundred".