66425702400000 has 2160 divisors, whose sum is σ = 262754043289920. Its totient is φ = 16721510400000.

The previous prime is 66425702399999. The next prime is 66425702400023. The reversal of 66425702400000 is 420752466.

66425702400000 is a `hidden beast` number, since 6 + 6 + 42 + 570 + 2 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 236390399860 + ... + 236390400140.

It is an arithmetic number, because the mean of its divisors is an integer number (121645390412).

Almost surely, 2^{66425702400000} is an apocalyptic number.

66425702400000 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 66425702400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131377021644960).

66425702400000 is an abundant number, since it is smaller than the sum of its proper divisors (196328340889920).

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

66425702400000 is an frugal number, since it uses more digits than its factorization.

66425702400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 66425702400000 in words is "sixty-six trillion, four hundred twenty-five billion, seven hundred two million, four hundred thousand".