1076684094720 has 432 divisors, whose sum is σ = 4087493701200. Its totient is φ = 260027449344.

The previous prime is 1076684094713. The next prime is 1076684094737. The reversal of 1076684094720 is 274904866701.

1076684094720 is a `hidden beast` number, since 1 + 0 + 76 + 68 + 40 + 9 + 472 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42541537536 + 1034142557184 = 206256^2 + 1016928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7869456 + ... + 8005104.

It is an arithmetic number, because the mean of its divisors is an integer number (9461790975).

Almost surely, 2^{1076684094720} is an apocalyptic number.

1076684094720 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 1076684094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043746850600).

1076684094720 is an abundant number, since it is smaller than the sum of its proper divisors (3010809606480).

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

1076684094720 is a wasteful number, since it uses less digits than its factorization.

1076684094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135742 (or 135725 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1076684094720 in words is "one trillion, seventy-six billion, six hundred eighty-four million, ninety-four thousand, seven hundred twenty".