1009715323680 has 960 divisors, whose sum is σ = 4323228940800. Its totient is φ = 216655036416.

The previous prime is 1009715323679. The next prime is 1009715323693. The reversal of 1009715323680 is 863235179001.

1009715323680 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 1 + 532 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 923801214 + ... + 923802306.

It is an arithmetic number, because the mean of its divisors is an integer number (4503363480).

Almost surely, 2^{1009715323680} is an apocalyptic number.

1009715323680 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 1009715323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161614470400).

1009715323680 is an abundant number, since it is smaller than the sum of its proper divisors (3313513617120).

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

1009715323680 is a wasteful number, since it uses less digits than its factorization.

1009715323680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1009715323680 in words is "one trillion, nine billion, seven hundred fifteen million, three hundred twenty-three thousand, six hundred eighty".