1020067680256 has 117 divisors (see below), whose sum is σ = 2094134822091. Its totient is φ = 496815169536.

The previous prime is 1020067680241. The next prime is 1020067680277. The reversal of 1020067680256 is 6520867600201.

The square root of 1020067680256 is 1009984.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2779475785 + ... + 2779476151.

It is an arithmetic number, because the mean of its divisors is an integer number (17898588223).

Almost surely, 2^{1020067680256} is an apocalyptic number.

1020067680256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1020067680256 is the 1009984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020067680256

1020067680256 is an abundant number, since it is smaller than the sum of its proper divisors (1074067141835).

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

1020067680256 is an frugal number, since it uses more digits than its factorization.

1020067680256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 1020067680256 in words is "one trillion, twenty billion, sixty-seven million, six hundred eighty thousand, two hundred fifty-six".