1064380953600 has 660 divisors, whose sum is σ = 4048090317964. Its totient is φ = 276143800320.

The previous prime is 1064380953599. The next prime is 1064380953607. The reversal of 1064380953600 is 63590834601.

1064380953600 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 38 + 0 + 9 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4897760256 + 1059483193344 = 69984^2 + 1029312^2 .

It is a super-3 number, since 3×1064380953600³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (1064380953607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76716264 + ... + 76730136.

Almost surely, 2^{1064380953600} is an apocalyptic number.

1064380953600 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 1064380953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024045158982).

1064380953600 is an abundant number, since it is smaller than the sum of its proper divisors (2983709364364).

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

1064380953600 is a wasteful number, since it uses less digits than its factorization.

1064380953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13952 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1064380953600 in words is "one trillion, sixty-four billion, three hundred eighty million, nine hundred fifty-three thousand, six hundred".