66084844425600 has 1728 divisors, whose sum is σ = 299109338902080. Its totient is φ = 12675446784000.

The previous prime is 66084844425599. The next prime is 66084844425617. The reversal of 66084844425600 is 652444848066.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 874435815 + ... + 874511385.

It is an arithmetic number, because the mean of its divisors is an integer number (173095682235).

Almost surely, 2^{66084844425600} is an apocalyptic number.

66084844425600 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 66084844425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149554669451040).

66084844425600 is an abundant number, since it is smaller than the sum of its proper divisors (233024494476480).

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

66084844425600 is a wasteful number, since it uses less digits than its factorization.

66084844425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75649 (or 75612 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 57.

The spelling of 66084844425600 in words is "sixty-six trillion, eighty-four billion, eight hundred forty-four million, four hundred twenty-five thousand, six hundred".