1007461653728 has 48 divisors (see below), whose sum is σ = 2055073854960. Its totient is φ = 485779101696.

The previous prime is 1007461653721. The next prime is 1007461653743. The reversal of 1007461653728 is 8273561647001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007461653721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3631238 + ... + 3898821.

It is an arithmetic number, because the mean of its divisors is an integer number (42814038645).

Almost surely, 2^{1007461653728} is an apocalyptic number.

It is an amenable number.

1007461653728 is an abundant number, since it is smaller than the sum of its proper divisors (1047612201232).

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

1007461653728 is a wasteful number, since it uses less digits than its factorization.

1007461653728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530219 (or 7530211 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 1007461653728 in words is "one trillion, seven billion, four hundred sixty-one million, six hundred fifty-three thousand, seven hundred twenty-eight".