1006927957764 has 243 divisors, whose sum is σ = 2706950443743. Its totient is φ = 315583527168.

The previous prime is 1006927957697. The next prime is 1006927957769. The reversal of 1006927957764 is 4677597296001.

The square root of 1006927957764 is 1003458.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8543304900 + 998384652864 = 92430^2 + 999192^2 .

It is not an unprimeable number, because it can be changed into a prime (1006927957769) 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 80 ways as a sum of consecutive naturals, for example, 12745923477 + ... + 12745923555.

Almost surely, 2^{1006927957764} is an apocalyptic number.

1006927957764 is the 1003458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006927957764

1006927957764 is an abundant number, since it is smaller than the sum of its proper divisors (1700022485979).

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

1006927957764 is an equidigital number, since it uses as much as digits as its factorization.

1006927957764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

It can be divided in two parts, 1006927 and 957764, that added together give a palindrome (1964691).

The spelling of 1006927957764 in words is "one trillion, six billion, nine hundred twenty-seven million, nine hundred fifty-seven thousand, seven hundred sixty-four".