1076720843520 has 1440 divisors, whose sum is σ = 4682614970880. Its totient is φ = 230756843520.

The previous prime is 1076720843503. The next prime is 1076720843533. The reversal of 1076720843520 is 253480276701.

1076720843520 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 7 + 208 + 435 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 1558206375 + ... + 1558207065.

It is an arithmetic number, because the mean of its divisors is an integer number (3251815952).

Almost surely, 2^{1076720843520} is an apocalyptic number.

1076720843520 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 1076720843520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341307485440).

1076720843520 is an abundant number, since it is smaller than the sum of its proper divisors (3605894127360).

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

1076720843520 is a wasteful number, since it uses less digits than its factorization.

1076720843520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1076720843520 in words is "one trillion, seventy-six billion, seven hundred twenty million, eight hundred forty-three thousand, five hundred twenty".