1072678104576 has 640 divisors, whose sum is σ = 3529747415040. Its totient is φ = 319548063744.

The previous prime is 1072678104497. The next prime is 1072678104587. The reversal of 1072678104576 is 6754018762701.

1072678104576 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 67 + 8 + 1 + 0 + 4 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 981406686 + ... + 981407778.

It is an arithmetic number, because the mean of its divisors is an integer number (5515230336).

Almost surely, 2^{1072678104576} is an apocalyptic number.

1072678104576 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 1072678104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764873707520).

1072678104576 is an abundant number, since it is smaller than the sum of its proper divisors (2457069310464).

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

1072678104576 is a wasteful number, since it uses less digits than its factorization.

1072678104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 1072678104576 in words is "one trillion, seventy-two billion, six hundred seventy-eight million, one hundred four thousand, five hundred seventy-six".