66425067273600 has 2304 divisors, whose sum is σ = 299618573184000. Its totient is φ = 14051443507200.

The previous prime is 66425067273559. The next prime is 66425067273659. The reversal of 66425067273600 is 637276052466.

66425067273600 is a `hidden beast` number, since 6 + 6 + 4 + 2 + 5 + 0 + 6 + 7 + 27 + 3 + 600 = 666.

66425067273600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13367891916 + ... + 13367896884.

It is an arithmetic number, because the mean of its divisors is an integer number (130042783500).

Almost surely, 2^{66425067273600} is an apocalyptic number.

66425067273600 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 66425067273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149809286592000).

66425067273600 is an abundant number, since it is smaller than the sum of its proper divisors (233193505910400).

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

66425067273600 is a wasteful number, since it uses less digits than its factorization.

66425067273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 66425067273600 in words is "sixty-six trillion, four hundred twenty-five billion, sixty-seven million, two hundred seventy-three thousand, six hundred".