1075920992640 has 384 divisors, whose sum is σ = 4039955599680. Its totient is φ = 262268928000.

The previous prime is 1075920992623. The next prime is 1075920992651. The reversal of 1075920992640 is 462990295701.

1075920992640 is a `hidden beast` number, since 1 + 0 + 7 + 592 + 0 + 9 + 9 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7642890 + ... + 7782390.

Almost surely, 2^{1075920992640} is an apocalyptic number.

1075920992640 is a gapful number since it is divisible by the number (10) 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 1075920992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019977799840).

1075920992640 is an abundant number, since it is smaller than the sum of its proper divisors (2964034607040).

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

1075920992640 is a wasteful number, since it uses less digits than its factorization.

1075920992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139642 (or 139627 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1075920992640 in words is "one trillion, seventy-five billion, nine hundred twenty million, nine hundred ninety-two thousand, six hundred forty".