1626073830976 has 105 divisors (see below), whose sum is σ = 3765463851201. Its totient is φ = 696674555136.

The previous prime is 1626073830973. The next prime is 1626073831007. The reversal of 1626073830976 is 6790383706261.

The square root of 1626073830976 is 1275176.

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

It can be written as a sum of positive squares in only one way, i.e., 1618085761600 + 7988069376 = 1272040^2 + 89376^2 .

It is a super-2 number, since 2×1626073830976² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1626073830976.

It is not an unprimeable number, because it can be changed into a prime (1626073830973) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 499867366 + ... + 499870618.

Almost surely, 2^{1626073830976} is an apocalyptic number.

1626073830976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1626073830976 is the 1275176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1626073830976

1626073830976 is an abundant number, since it is smaller than the sum of its proper divisors (2139390020225).

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

1626073830976 is an frugal number, since it uses more digits than its factorization.

1626073830976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 1626073830976 in words is "one trillion, six hundred twenty-six billion, seventy-three million, eight hundred thirty thousand, nine hundred seventy-six".