1075666706400 has 576 divisors, whose sum is σ = 4209128098560. Its totient is φ = 235107532800.

The previous prime is 1075666706377. The next prime is 1075666706423. The reversal of 1075666706400 is 46076665701.

It is an interprime number because it is at equal distance from previous prime (1075666706377) and next prime (1075666706423).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1075666706400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14721156 + ... + 14794044.

It is an arithmetic number, because the mean of its divisors is an integer number (7307514060).

Almost surely, 2^{1075666706400} is an apocalyptic number.

1075666706400 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 1075666706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104564049280).

1075666706400 is an abundant number, since it is smaller than the sum of its proper divisors (3133461392160).

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

1075666706400 is a wasteful number, since it uses less digits than its factorization.

1075666706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72979 (or 72966 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 1075666706400 in words is "one trillion, seventy-five billion, six hundred sixty-six million, seven hundred six thousand, four hundred".