66096460800 has 396 divisors, whose sum is σ = 242463358956. Its totient is φ = 17193369600.

The previous prime is 66096460777. The next prime is 66096460849. The reversal of 66096460800 is 806469066.

66096460800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16106655744 + 49989805056 = 126912^2 + 223584^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9442902 + ... + 9449898.

Almost surely, 2^66096460800 is an apocalyptic number.

66096460800 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 66096460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121231679478).

66096460800 is an abundant number, since it is smaller than the sum of its proper divisors (176366898156).

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

66096460800 is a wasteful number, since it uses less digits than its factorization.

66096460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 66096460800 in words is "sixty-six billion, ninety-six million, four hundred sixty thousand, eight hundred".