1064063609856 has 880 divisors, whose sum is σ = 3573921297408. Its totient is φ = 314424115200.

The previous prime is 1064063609849. The next prime is 1064063609881. The reversal of 1064063609856 is 6589063604601.

1064063609856 is a `hidden beast` number, since 106 + 40 + 6 + 360 + 98 + 56 = 666.

It is a super-2 number, since 2×1064063609856² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8122622911 + ... + 8122623041.

Almost surely, 2^{1064063609856} is an apocalyptic number.

1064063609856 is a gapful number since it is divisible by the number (16) 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 1064063609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786960648704).

1064063609856 is an abundant number, since it is smaller than the sum of its proper divisors (2509857687552).

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

1064063609856 is an frugal number, since it uses more digits than its factorization.

1064063609856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1064063609856 in words is "one trillion, sixty-four billion, sixty-three million, six hundred nine thousand, eight hundred fifty-six".