1006834756278 has 128 divisors (see below), whose sum is σ = 2382829747200. Its totient is φ = 280626204672.

The previous prime is 1006834756273. The next prime is 1006834756289. The reversal of 1006834756278 is 8726574386001.

1006834756278 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006834756273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170733826 + ... + 170739722.

It is an arithmetic number, because the mean of its divisors is an integer number (18615857400).

Almost surely, 2^{1006834756278} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006834756278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191414873600).

1006834756278 is an abundant number, since it is smaller than the sum of its proper divisors (1375994990922).

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

1006834756278 is a wasteful number, since it uses less digits than its factorization.

1006834756278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966.

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 1006834756278 in words is "one trillion, six billion, eight hundred thirty-four million, seven hundred fifty-six thousand, two hundred seventy-eight".