66450204057600 has 3360 divisors, whose sum is σ = 293934334712832. Its totient is φ = 14651228160000.

The previous prime is 66450204057593. The next prime is 66450204057607. The reversal of 66450204057600 is 675040205466.

66450204057600 is a `hidden beast` number, since 6 + 6 + 4 + 50 + 20 + 4 + 0 + 576 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66450204057593) and next prime (66450204057607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66450204057607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 96165273255 + ... + 96165273945.

Almost surely, 2^{66450204057600} is an apocalyptic number.

66450204057600 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 66450204057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146967167356416).

66450204057600 is an abundant number, since it is smaller than the sum of its proper divisors (227484130655232).

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

66450204057600 is a wasteful number, since it uses less digits than its factorization.

66450204057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 66450204057600 in words is "sixty-six trillion, four hundred fifty billion, two hundred four million, fifty-seven thousand, six hundred".