66350796120 has 576 divisors, whose sum is σ = 259260842880. Its totient is φ = 14662674432.

The previous prime is 66350796101. The next prime is 66350796121. The reversal of 66350796120 is 2169705366.

66350796120 is a `hidden beast` number, since 6 + 63 + 507 + 9 + 61 + 20 = 666.

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 (66350796121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180792177 + ... + 180792543.

It is an arithmetic number, because the mean of its divisors is an integer number (450105630).

Almost surely, 2^66350796120 is an apocalyptic number.

66350796120 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 66350796120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129630421440).

66350796120 is an abundant number, since it is smaller than the sum of its proper divisors (192910046760).

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

66350796120 is a wasteful number, since it uses less digits than its factorization.

66350796120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 66350796120 in words is "sixty-six billion, three hundred fifty million, seven hundred ninety-six thousand, one hundred twenty".