1076661447330 has 512 divisors, whose sum is σ = 3187475546112. Its totient is φ = 227598336000.

The previous prime is 1076661447293. The next prime is 1076661447331. The reversal of 1076661447330 is 337441666701.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1076661447330.

It is not an unprimeable number, because it can be changed into a prime (1076661447331) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3194840922 + ... + 3194841258.

It is an arithmetic number, because the mean of its divisors is an integer number (6225538176).

Almost surely, 2^{1076661447330} is an apocalyptic number.

1076661447330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076661447330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593737773056).

1076661447330 is an abundant number, since it is smaller than the sum of its proper divisors (2110814098782).

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

1076661447330 is a wasteful number, since it uses less digits than its factorization.

1076661447330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 1076661447330 in words is "one trillion, seventy-six billion, six hundred sixty-one million, four hundred forty-seven thousand, three hundred thirty".