1064650910400 has 1260 divisors, whose sum is σ = 4966481752056. Its totient is φ = 221211648000.

The previous prime is 1064650910399. The next prime is 1064650910413. The reversal of 1064650910400 is 40190564601.

1064650910400 is a `hidden beast` number, since 1 + 0 + 6 + 46 + 509 + 104 + 0 + 0 = 666.

1064650910400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×1064650910400² (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 179 ways as a sum of consecutive naturals, for example, 69846780 + ... + 69862020.

Almost surely, 2^{1064650910400} is an apocalyptic number.

1064650910400 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 1064650910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483240876028).

1064650910400 is an abundant number, since it is smaller than the sum of its proper divisors (3901830841656).

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

1064650910400 is a wasteful number, since it uses less digits than its factorization.

1064650910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15269 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1064650910400 in words is "one trillion, sixty-four billion, six hundred fifty million, nine hundred ten thousand, four hundred".