1006701000720 has 80 divisors (see below), whose sum is σ = 3125831541120. Its totient is φ = 268018465792.

The previous prime is 1006701000713. The next prime is 1006701000791. The reversal of 1006701000720 is 270001076001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3251100 + ... + 3547259.

It is an arithmetic number, because the mean of its divisors is an integer number (39072894264).

Almost surely, 2^{1006701000720} is an apocalyptic number.

1006701000720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006701000720 is an abundant number, since it is smaller than the sum of its proper divisors (2119130540400).

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

1006701000720 is a wasteful number, since it uses less digits than its factorization.

1006701000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798992 (or 6798986 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

Adding to 1006701000720 its reverse (270001076001), we get a palindrome (1276702076721).

The spelling of 1006701000720 in words is "one trillion, six billion, seven hundred one million, seven hundred twenty", and thus it is an aban number.