1006710777344 has 80 divisors (see below), whose sum is σ = 2082901083120. Its totient is φ = 485511290880.

The previous prime is 1006710777341. The next prime is 1006710777353. The reversal of 1006710777344 is 4437770176001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006710777341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15007559 + ... + 15074489.

It is an arithmetic number, because the mean of its divisors is an integer number (26036263539).

Almost surely, 2^{1006710777344} 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 1006710777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041450541560).

1006710777344 is an abundant number, since it is smaller than the sum of its proper divisors (1076190305776).

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

1006710777344 is an equidigital number, since it uses as much as digits as its factorization.

1006710777344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67991 (or 67975 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 47.

The spelling of 1006710777344 in words is "one trillion, six billion, seven hundred ten million, seven hundred seventy-seven thousand, three hundred forty-four".