1064353680000 has 960 divisors, whose sum is σ = 4364768608200. Its totient is φ = 246546432000.

The previous prime is 1064353679999. The next prime is 1064353680037. The reversal of 1064353680000 is 863534601.

1064353680000 is a `hidden beast` number, since 1 + 0 + 6 + 43 + 536 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 282062961216 + 782290718784 = 531096^2 + 884472^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1064353680000² (a number of 25 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 159116656 + ... + 159123344.

Almost surely, 2^{1064353680000} is an apocalyptic number.

1064353680000 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 1064353680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182384304100).

1064353680000 is an abundant number, since it is smaller than the sum of its proper divisors (3300414928200).

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

1064353680000 is a wasteful number, since it uses less digits than its factorization.

1064353680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1064353680000 in words is "one trillion, sixty-four billion, three hundred fifty-three million, six hundred eighty thousand".