1064829284064 has 960 divisors, whose sum is σ = 4018785103872. Its totient is φ = 269037158400.

The previous prime is 1064829284021. The next prime is 1064829284069. The reversal of 1064829284064 is 4604829284601.

It is a happy number.

1064829284064 is a `hidden beast` number, since 10 + 6 + 482 + 92 + 8 + 4 + 0 + 64 = 666.

It is a super-2 number, since 2×1064829284064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1064829284064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064829284069) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 782386744 + ... + 782388104.

Almost surely, 2^{1064829284064} is an apocalyptic number.

1064829284064 is a gapful number since it is divisible by the number (14) 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 1064829284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009392551936).

1064829284064 is an abundant number, since it is smaller than the sum of its proper divisors (2953955819808).

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

1064829284064 is a wasteful number, since it uses less digits than its factorization.

1064829284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1064829284064 in words is "one trillion, sixty-four billion, eight hundred twenty-nine million, two hundred eighty-four thousand, sixty-four".