1007836872960 has 72 divisors (see below), whose sum is σ = 3218779025280. Its totient is φ = 268756498432.

The previous prime is 1007836872949. The next prime is 1007836873039. The reversal of 1007836872960 is 692786387001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007836872960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131224920 + ... + 131232599.

It is an arithmetic number, because the mean of its divisors is an integer number (44705264240).

Almost surely, 2^{1007836872960} is an apocalyptic number.

1007836872960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007836872960 is an abundant number, since it is smaller than the sum of its proper divisors (2210942152320).

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

1007836872960 is an equidigital number, since it uses as much as digits as its factorization.

1007836872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262457543 (or 262457529 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 1007836872960 in words is "one trillion, seven billion, eight hundred thirty-six million, eight hundred seventy-two thousand, nine hundred sixty".