1072669465296 has 240 divisors, whose sum is σ = 3640577321472. Its totient is φ = 290368281600.

The previous prime is 1072669465289. The next prime is 1072669465381. The reversal of 1072669465296 is 6925649662701.

1072669465296 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 6 + 69 + 46 + 529 + 6 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 201835 + ... + 1478538.

Almost surely, 2^{1072669465296} is an apocalyptic number.

1072669465296 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 1072669465296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820288660736).

1072669465296 is an abundant number, since it is smaller than the sum of its proper divisors (2567907856176).

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

1072669465296 is a wasteful number, since it uses less digits than its factorization.

1072669465296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680442 (or 1680433 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1072669465296 in words is "one trillion, seventy-two billion, six hundred sixty-nine million, four hundred sixty-five thousand, two hundred ninety-six".