1009640712960 has 720 divisors, whose sum is σ = 3957927950592. Its totient is φ = 243717120000.

The previous prime is 1009640712943. The next prime is 1009640712979. The reversal of 1009640712960 is 692170469001.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1009640712960² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286258717 + ... + 286262243.

Almost surely, 2^{1009640712960} is an apocalyptic number.

1009640712960 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 1009640712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978963975296).

1009640712960 is an abundant number, since it is smaller than the sum of its proper divisors (2948287237632).

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

1009640712960 is a wasteful number, since it uses less digits than its factorization.

1009640712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1009640712960 in words is "one trillion, nine billion, six hundred forty million, seven hundred twelve thousand, nine hundred sixty".