66337070400000 has 360 divisors, whose sum is σ = 239301331617348. Its totient is φ = 17689881600000.

The previous prime is 66337070399833. The next prime is 66337070400047. The reversal of 66337070400000 is 407073366.

It can be written as a sum of positive squares in 6 ways, for example, as 15104229325056 + 51232841074944 = 3886416^2 + 7157712^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12096630 + ... + 16703370.

Almost surely, 2^{66337070400000} is an apocalyptic number.

66337070400000 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 66337070400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119650665808674).

66337070400000 is an abundant number, since it is smaller than the sum of its proper divisors (172964261217348).

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

66337070400000 is an frugal number, since it uses more digits than its factorization.

66337070400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606790 (or 4606751 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

Adding to 66337070400000 its reverse (407073366), we get a palindrome (66337477473366).

The spelling of 66337070400000 in words is "sixty-six trillion, three hundred thirty-seven billion, seventy million, four hundred thousand".