1064770816000 has 384 divisors, whose sum is σ = 2738176721280. Its totient is φ = 413048832000.

The previous prime is 1064770815893. The next prime is 1064770816009. The reversal of 1064770816000 is 6180774601.

It is a super-2 number, since 2×1064770816000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1064770816009) 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 31 ways as a sum of consecutive naturals, for example, 2168575755 + ... + 2168576245.

It is an arithmetic number, because the mean of its divisors is an integer number (7130668545).

Almost surely, 2^{1064770816000} is an apocalyptic number.

1064770816000 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 1064770816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369088360640).

1064770816000 is an abundant number, since it is smaller than the sum of its proper divisors (1673405905280).

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

1064770816000 is an equidigital number, since it uses as much as digits as its factorization.

1064770816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 1064770816000 in words is "one trillion, sixty-four billion, seven hundred seventy million, eight hundred sixteen thousand".