1006326987456 has 224 divisors, whose sum is σ = 3129227200512. Its totient is φ = 279389122560.

The previous prime is 1006326987389. The next prime is 1006326987473. The reversal of 1006326987456 is 6547896236001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1006326987396 and 1006326987405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39620521 + ... + 39645911.

It is an arithmetic number, because the mean of its divisors is an integer number (13969764288).

It is a 1-persistent number, because it is pandigital, but 2⋅1006326987456 = 2012653974912 is not.

Almost surely, 2^{1006326987456} is an apocalyptic number.

1006326987456 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 1006326987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564613600256).

1006326987456 is an abundant number, since it is smaller than the sum of its proper divisors (2122900213056).

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

1006326987456 is a wasteful number, since it uses less digits than its factorization.

1006326987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26247 (or 26237 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 1006326987456 in words is "one trillion, six billion, three hundred twenty-six million, nine hundred eighty-seven thousand, four hundred fifty-six".