1076680653984 has 288 divisors, whose sum is σ = 3315167331840. Its totient is φ = 329500348416.

The previous prime is 1076680653967. The next prime is 1076680653991. The reversal of 1076680653984 is 4893560866701.

1076680653984 is a `hidden beast` number, since 10 + 7 + 6 + 6 + 8 + 0 + 6 + 539 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669160572 + ... + 669162180.

It is an arithmetic number, because the mean of its divisors is an integer number (11510997680).

Almost surely, 2^{1076680653984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076680653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657583665920).

1076680653984 is an abundant number, since it is smaller than the sum of its proper divisors (2238486677856).

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

1076680653984 is a wasteful number, since it uses less digits than its factorization.

1076680653984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1076680653984 in words is "one trillion, seventy-six billion, six hundred eighty million, six hundred fifty-three thousand, nine hundred eighty-four".