1076630870016 has 1008 divisors, whose sum is σ = 3715336923480. Its totient is φ = 310542336000.

The previous prime is 1076630870011. The next prime is 1076630870039. The reversal of 1076630870016 is 6100780366701.

1076630870016 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 630 + 8 + 7 + 0 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076630870011) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 4289365891 + ... + 4289366141.

Almost surely, 2^{1076630870016} is an apocalyptic number.

1076630870016 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 1076630870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857668461740).

1076630870016 is an abundant number, since it is smaller than the sum of its proper divisors (2638706053464).

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

1076630870016 is an equidigital number, since it uses as much as digits as its factorization.

1076630870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1076630870016 in words is "one trillion, seventy-six billion, six hundred thirty million, eight hundred seventy thousand, sixteen".