1020027633696 has 384 divisors, whose sum is σ = 3209771335680. Its totient is φ = 314552367360.

The previous prime is 1020027633679. The next prime is 1020027633733. The reversal of 1020027633696 is 6963367200201.

1020027633696 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 2 + 7 + 633 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×1020027633696² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 592005891 + ... + 592007613.

It is an arithmetic number, because the mean of its divisors is an integer number (8358779520).

Almost surely, 2^{1020027633696} is an apocalyptic number.

1020027633696 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 1020027633696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604885667840).

1020027633696 is an abundant number, since it is smaller than the sum of its proper divisors (2189743701984).

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

1020027633696 is an equidigital number, since it uses as much as digits as its factorization.

1020027633696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1020027633696 in words is "one trillion, twenty billion, twenty-seven million, six hundred thirty-three thousand, six hundred ninety-six".