1064730420000 has 900 divisors, whose sum is σ = 4238162892810. Its totient is φ = 262020096000.

The previous prime is 1064730419999. The next prime is 1064730420007. The reversal of 1064730420000 is 240374601.

1064730420000 is a `hidden beast` number, since 10 + 647 + 3 + 0 + 4 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 704975178384 + 359755241616 = 839628^2 + 599796^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×1064730420000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1064730420007) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 273778056 + ... + 273781944.

Almost surely, 2^{1064730420000} is an apocalyptic number.

1064730420000 is a gapful number since it is divisible by the number (10) 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 1064730420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119081446405).

1064730420000 is an abundant number, since it is smaller than the sum of its proper divisors (3173432472810).

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

1064730420000 is an equidigital number, since it uses as much as digits as its factorization.

1064730420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 1064730420000 its reverse (240374601), we get a palindrome (1064970794601).

The spelling of 1064730420000 in words is "one trillion, sixty-four billion, seven hundred thirty million, four hundred twenty thousand".